Publication List

Publication List

Journal	Number of Articles
Physical Review Letters	47 (21.57 one author PRLs)
JETP Letters	1
Europhysics Letters	12
Physics Reports, Rev Mod Phys	2
Other journals	247
Total number	309 (141.07 one author pps)
Co-authors	list (here)

1978 - 1979 - 1980 - 1981 - 1982

1. F.M.Izrailev, D.L.Shepelyansky, "Quantum Resonance for a Rotator in a Nonlinear Periodic Field", Dok. Akad. Nauk SSSR v.249, p.1103-1107 (1979) (in Russian - (here) ) [F.M.Izrailev and D.L.Shepelyanskii, Sov. Phys. Dokl. v.24, p.996 (1979) (in English - (here) )]; Teor. Mat. Fiz. v.43, 417 (1980) (in Russian (here) , journal copy (here) ) [English translation: F.M.Izrailev and D.L.Shepelyanskii, Theor. Math. Phys. v.43(3), pp. 553-561 (1980) (in English (here) )]; [also in English - F.M.Izrailev and D.L.Shepelyansky, "Quantum resonance for the rotator in a non-linear periodic field", Dated November 23, 1978, Preprint INP 78-97, Novosibirsk 1978 (in English (here) )]; BINP copy in Russian (here) )

2. D.L.Shepelyansky, "Quasiclassical Approximation for Stochastic Quantum Systems", Dok. Akad. Nauk SSSR v.256, p.586-590 (1981) (in Russian (here) ), English Transl. [D.L.Shepelyanskii, Sov. Phys. Dokl. v.26(1), p.80 (1981) (here) )];
[Preprint INP 80-132, Dated April 7, 1980, Novosibirsk 1980 (in English (here) ); BINP copy in Russian (here) )]

3. D.L.Shepelyansky, "About Dynamical Stochasticity in Nonlinear Quantum Systems", Teor. Math. Fiz. v.49, p.117-121 (1981) (in Russian (here) , journal copy (here) ) [English translation: D.L.Shepelyanskii "Dynamical stochasticity in nonlinear quantum systems" Theor. Math. Phys. v.49(1), pp.925-928 (1981) (in English (here) )]; [also Preprint INP 80-157, Dated June 30, 1980, Novosibirsk 1980 (in English (here) ); BINP copy in Russian (here) )]

4. B.V.Chirikov, F.M.Izrailev, D.L.Shepelyansky, "Dynamical Stochasticity in Classical and Quantum Mechanics", Sov. Scient. Rev. v.2C, p.209-267 (1981) [Section C - Mathematical Physics Reviews, Ed. S.P.Novikov vol.2, Harwood Acad. Publ., Chur, Switzerland (1981)] (here) ; [Preprint INP 80-209, Novosibirsk 1980, BINP copy in Russian (here) ; Preprint INP 80-210, dated 11 November 1980, BINP copy in English (here) ]

5. B.V.Chirikov, D.L.Shepelyansky, "Statistics of Poincare Recurrences and the Structure of the Stochastic Layer of a Nonlinear Resonance", Dated: April 14, 1981, Preprint INP 81-69, Novosibirsk 1981 (in Russian (here) ; BINP copy (here) );
English translation available as Preprint PPPL-TRANS-133, Plasma Phys. Lab., Princeton Univ, Princeton, New Jersey, 1983 (here) ;
Proc. IX Int. Conf. on Nonlinear Oscillations (Kiev 1981), Naukova Dumka v.2, p.420-425 (1984) (in Russian (here) , better scan (here) ).

6. B.V.Chirikov, J.Ford, F.M.Izrailev,D.L.Shepelyansky, F.Vivaldi, "Modulational Diffusion in Nonlinear Oscillating Systems", Proc. IX Int. Conf. on Nonlinear Oscillations (Kiev 1981), Naukova Dumka v.2, p.80-85 (1984) (in Russian (here), better scan (here); Preprint INP 81-70 Novosibirsk 1981 in English (here); BINP copy (here))

7. B.V.Chirikov, D.L.Shepelyansky, "Stochastic Oscillations of Classical Yang-Mills Fields", Pis'ma Zh. Eksp. Teor. Fiz. v.34, p.171-175 (1981) (in Russian: scan (here) and JETPLett-copy (here) ); [B.V.Chirikov and D.L.Shepelyanskii, JETP Lett., v.34, p.163-166 (1981), in English (here) ]

8. B.V.Chirikov, D.L.Shepelyansky, "Dynamics of Some Homogeneous Models of Classical Yang-Mills Fields", Yader. Fiz. v.36, p.1563-1576 (1982) (in Russian (here) ); [B.V.Chirikov and D.L.Shepelyanskii, Sov. J.Nucl. Phys. v.36(6), p.908 (1982), in English (here) ]; [Preprint INP 82-120, Novosibirsk 1982, BINP copy in Russian (here) ]

9. B.V.Chirikov, D.L.Shepelyansky, "Diffusion for Multiple Crossing of Nonlinear Resonance", Zh. Tech. Fiz. v.52, p.238-245 (1982) (in Russian (here) ); [B.V.Chirikov, D.L.Shepelyanskii, Sov. Phys. Tech. Phys. v.27(2), p.156-160 (1982), in English (here) ]; [Preprint INP 80-211, Novosibirsk 1980, BINP copy in Russian (here) ]

10. D.L.Shepelyansky, "Stochastization of Highly Excited Atom in a Field of Low Frequency Electromagnetic Wave", Optic. i Spectr. v.52, p.1102-1105 (1982) (in Russian (here) )

11. D.L.Shepelyansky, "Stochastic Ionization of Excited Hydrogen Atom in a Field of Electromagnetic Wave", Optic. i Spectr. v.53, p.354-356 (1982) (in Russian (here) )

1983

12. N.B.Delone, V.P.Krainov, D.L.Shepelyansky, "Nonlinear Ionization of Highlyexcited Atoms", Izv. Akad. Nauk SSSR v.47, p.1565-1572 (1983) (in Russian (here) )

13. N.B.Delone, V.P.Krainov, D.L.Shepelyansky, "Highly excited Atom in Electromagnetic Field", Usp. Fiz. Nauk v.140, p.355-392 (1983) (in Russian: scan (here) and UFN-copy (here) ) [ N.B.Delone, V.P.Krainov, D.L.Shepelyanskii, Sov. Phys. Uspekhy v.26, p.551 (1983), in English (here) ; better copy (here) ]

14. D.L.Shepelyansky, "Some Statistical Properties of Simple Classically Stochastic Quantum Systems", Physica v.8D, p.208-222 (1983) (here) ; [Preprint INP 81-55, Novosibirsk, 29 May 1981, BINP copy in English (here) ]

15. D.L.Shepelyansky, "Quantum Diffusion Limitation at Excitation of Rydberg Atom in Variable Field", Dated: May 12, 1983, Preprint INP 83-61 (Novosibirsk 1983) (in Russian (here) , BINP copy (here) ; in English (here) ); Proc. Int. Conf. on Quantum Chaos (Como 1983), Ed. G.Casati, Plenum p.187 (1985) (here)

1984

16. N.B.Delone, V.P.Krainov, D.L.Shepelyansky, "Nonlinear Spectroscopy of Rydberg Atoms", Izv. Akad. Nauk SSSR v.48, p.682-688 (1984) (in Russian (here) )

17. G.Casati, B.V.Chirikov, D.L.Shepelyansky, "Quantum Limitations for Chaotic Excitation of Hydrogen Atom in Monochromatic Field", Phys. Rev. Lett. v.53, p.2525-2528 (1984) (here) ; Preprint INP 84-144, Novosibirsk 2 November 1984 BINP copy in English (here)

18. B.V.Chirikov, D.L.Shepelyansky, "Correlation Properties of Dynamical Chaos in Hamiltonian Systems", Physica v.13D, p.395-400 (1984) (here) (in Russian preprint INP 83-149 (1983) (here) ; BINP copy (here) )

1985

19. B.V.Chirikov, M.A.Lieberman, D.L.Shepelyansky, F.Vivaldi, "A Theory of Modulational Diffusion", Physica v.14D, p.289-304 (1985) (here)

1986

20. D.L.Shepelyansky, "Localization of Quasienergy Eigenfunction in Action Space", Phys. Rev. Lett. v.56, p.677-680 (1986) (here) ; Preprint INP 85-92, Novosibirsk 10 June 1985, BINP copy in English (here)

21. G.Casati, B.V.Chirikov, I.Guarneri,D.L.Shepelyansky, "Dynamical Stability of Quantum "Chaotic" Motion in Hydrogen Atom", Phys. Rev. Lett. v.56, p.2437-2440 (1986) (here) ; Preprint INP 86-49, Novosibirk 17 February 1986, BINP copy in English (here)

22. G.Casati, B.V.Chirikov, I.Guarneri,D.L.Shepelyansky, "New Photoelectric Ionization Peak in the Hydrogen Atom", Phys. Rev. Lett. v.57, p.823-826 (1986). (here) ; Preprint INP 86-48, Novosibirk 17 February 1986, BINP copy in English (here)

23. D.L.Shepelyansky, "Chaos and Interaction of Atoms with Self-Consistent Field in the Case of Small Coupling Constant", Phys. Rev. Lett. v.57, p.1815-1818 (1986) (here) ; Preprint INP 86-76, Novosibirk 28 April 1986, BINP copy in English (here)

24. B.V.Chirikov, D.L.Shepelyansky, "Localization of Dynamical Chaos in Quantum Systems", Radiofizika v.29, p.1041-1049 (1986) (in Russian (here) ) (in English (here) ); Preprint INP 85-29, Novosibirk 28 February 1985, BINP copy in Russian (here)

1987

25. D.L.Shepelyansky, "Quantum Chaos: Diffusive Photoelectric Effect in Hydrogen", Usp. Fiz. Nauk v.152, p.168-171 (1987) (in Russian (here) ), Sov. Phys. Usp. v.30(5), p. 438 (1987) (in English (here) ).

26. G.Casati, B.V.Chirikov, I.Guarneri,D.L.Shepelyansky, "Relevance of Classical Chaos in Quantum Mechanics: the Hydrogen Atom in a Monochromatic Field", Phys. Rep. v.154, p.77-123 (1987) (here)

27. D.L.Shepelyansky, "Localization of Diffusive Excitation in Multi-Level Systems", Physica v.28D, p.103-114 (1987) (here) ; Preprint INP "Quantum localization of dynamical chaos" 85-122, Novosibirsk 10 June 1985, BINP copy in Russian (here) ; Preprint INP 86-187, Novosibirsk 17 November 1986, BINP copy in English (here)

28. G.Casati, I.Guarneri, D.L.Shepelyansky, "Exponential Photonic Localization for Hydrogen Atom in a Monochromatic Field", Phys.Rev. A v.36, p.3501-3504 (1987) (here) ; Preprint INP 87-29, Novosibirsk 18 February 1987, BINP copy in English (here)

29. G.Casati, B.V.Chirikov, I.Guarneri,D.L.Shepelyansky, "Localization of Diffusive Excitation in the Two-Dimensional Hydrogen Atom in a Monochromatic Field", Phys. Rev. Lett. v.59, p.2927-2930 (1987) (here) ; Preprint INP 87-30, Novosibirsk 18 February 1987, BINP copy in English (here)

1988

30. B.V.Chirikov, D.L.Shepelyansky, "Chaos Border and Statistical Anomalies", Eds. D.V.Shirkov, D.I.Kazakov and A.A.Vladimirov, World Sci. Publ., Singapore, "Renormalization Group" p.221-250 (1988) (here) ; Preprint INP 86-174, Novosibirsk 26 June 1986, BINP copy in Russian (here)

31. D.L.Shepelyansky, "Chaos and Ionization of the Hydrogen Atom in a Monochromatic Field", Nonlinear and Turbulent Processes in Physics, Kiev, Naukova Dumka v.1, p.227-230 (1988) (here)

32. F.Haake, D.L.Shepelyansky, "The Kicked Rotator as a Limit of the Kicked Top", Europhys. Lett. v.5, p.671 (1988) (here)

33. G.Casati, I.Guarneri, D.L.Shepelyansky, "Hydrogen Atom in Monochromatic Field: Chaos and Dynamical Photonic Localization", IEEE Jour. of Quant. Elect. v.24, p.1420-1444 (1988) (here)

34. B.V.Chirikov, D.L.Shepelyansky, "Renormalization Chaos and Motion Statistical Properties", Phys. Rev. Lett. v.61, p.1039-1039 (1988) (here)

35. F.M.Izrailev, D.L.Shepelyansky, "Quantum Chaos in a Model of Multilevel Atom Interacting with Resonant Field", Proc. XIII Int. Conf. Quant. and Nonlin. Opt., Minsk, v.1, p.77 (1988) (in Russian (here) ).

36. B.V.Chirikov, F.M.Izrailev, D.L.Shepelyansky, "Quantum Chaos: Localization vs. Ergodicity", Physica 33D, p.77-88 (1988) (here) ; Preprint INP 86-166, Novosibirsk 22 October 1986, BINP copy in Russian (here)

1989

37. G.Casati, I.Guarneri, D.L.Shepelyansky, "Anderson Transition in a One-Dimensional System with Three Incommensurate Frequencies", Phys. Rev. Lett. v.62, p.345-348 (1989) (here)

38. F.Borgonovi, I.Guarneri, D.L.Shepelyansky, "Quantum Effects in the Frenkel-Kontorova Model", Phys. Rev. Lett. v.63, p.2010-2012 (1989) (here)

39. D.L.Shepelyansky, "Quantum Localization of Dynamical Chaos", in: Nonlinear Waves. Dynamics and Evolution, Nauka, Moscow p.267-275 (1989) (in Russian) (here) ; in "Nonlinear Waves 2: Dynamics and Evolution" A.V.Gaponov-Grekhov, M.I.Rabinovich, J.Engelbrecht (Eds.), Springer-Verlag, Berlin (1989), p.34-43 (in English) (here)

1990

40. G.Casati, I.Guarneri, D.L.Shepelyansky, "Classical Chaos, Quantum Localization and Fluctuations: a Unified View", Physica v.163A, p.205 (1990) (here)

41. F.Borgonovi, I.Guarneri, D.L.Shepelyansky, "Destruction of Classical Cantori in the Quantum Frenkel-Kontorova Model", Z.Phys. B-Condensed Matter, v.79, p.133-142 (1990) (here) (scan (here) )

1991 - 1992 - 1993

42. R.Graham, D.L.Shepelyansky, "A Solid-State Model for Photonic Localization in Molecular Quasi-Continua", Europhys. Lett., v.14, N.3, p.211-216 (1991) (here)

43. R.Graham, M.Hoehnerbach, D.L.Shepelyansky, "Localization and Level Statistics in a One-Dimensional Solid State Model with Periodically Modulated Potential", Z.Phys. B - Condensed Matter, v.82, N3, p.347-350 (1991) (here) (scan (here) )

44. R.Graham, M.Schlautmann, and D.L.Shepelyansky, "Dynamical Localization in Josephson Junctions" , Phys. Rev. Lett., v.67, N2, p.255-258 (1991) (here)

45. G.Casati, I.Guarneri, M.Leschanz, D.L.Shepelyansky, C.Sinha, "Diffusion over Localized Adiabatic States in a Modulated Quantum Kicked Rotator", Phys. Lett. A, v.154, N1,2, p.19-23 (1991) (here)

46. F.Benvenuto, G.Casati, I.Guarneri, D.L.Shepelyansky. "A Quantum Transition from Localized to Extended States in a Classically Chaotic System", Z.Phys.B - Condensed Matter, v.84, p.159 (1991) (here) (scan (here) )

47. R.Artuso, G.Casati, D.L.Shepelyansky, "Breakdown of Universality in Renormalization Dynamics for Critical Invariant Torus" Europhys. Lett., v.15 N4, p.381-386 (1991) (here)

48. G.Casati, I.Guarneri, D.L.Shepelyansky, "Two-Frequency Excitation of Hydrogen Atom", Chaos, Solitons & Fractals, v.1, N2, (1991) p.131-135 (here)

49. F.Benvenuto, G.Casati, A.S.Pikovsky, D.L.Shepelyansky, "Manifestations of Classical and Quantum Chaos in Nonlinear Wave Propagation", Phys. Rev. A, v.44, N6, p. R3423-R3426 (1991) (here)

50. F.Borgonovi, I.Guarneri, D.L.Shepelyansky, "Statistics of Quantum Lifetimes in a Classically Chaotic System", Phys. Rev. A, v.43, N8, p.4517-4520 (1991) (here)

51. R.Lima, D.Shepelyansky, "Fast Delocalization in a Model of Quantum Kicked Rotator", Phys. Rev. Lett., v.67, N11, p.1377-1380 (1991) (here)

52. D.L.Shepelyansky, "Localization and Delocalization of Quantum Chaos", in "Quantum Chaos - Quantum Measurement" eds. P.Cvitanovic, I.Percival, A.Wirzba, Kluwer Academic Publishers, Dordrecht-Boston-London 1992 p.81-87 (here)

53. S.Fishman, D.L.Shepelyansky, "Manifestation of Localization in Noise Induced Ionization and Dissociation", Europhys. Lett., v. 16, N7, p. 643-648 (1991) (here)

54. D.L.Shepelyansky, "Dynamical Localization in Hydrogen Atom", Lectures at Enrico Fermi Summer School "Quantum Chaos", Varenna 1991, in Quantum Chaos, Eds. G.Casati, I.Guarneri, U.Smilansky, North-Holland, Amsterdam, pp.221-240, 1993 (here)
[a short note is also placed here: D.L.Shepelyansky, "Quantum Localization of Dynamical Chaos", in " Chaos and Quantum Physics", Les Houches Lecture Series v.52 Eds. M.-J. Giannoni, A.Voros, and J. Zinn-Justin (North-Holland, Amsterdam, 1991), p.793-796 (here) ]

55. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Stability of Rydberg Atoms in Strong Laser Field", Phys. Rev. A, v.45, N11, p.R7670-R7673 (1992) (here)

56. R.Artuso, G.Casati, D.L.Shepelyansky, "Breakup of the Spiral Mean Torus in a Volume-preserving Map", Chaos, Solitons & Fractals, v.2, N2 (1992) p.181-190 (here)

57. R.Artuso, G.Casati, D.L.Shepelyansky, "Fractal Spectrum and Anomalous Diffusion in the Kicked Harper Model", Phys. Rev. Lett. v.68 N26 (1992) p.3826-3829 (here)

58. D.Shepelyansky, C.Sire, "Quantum Evolution in a Dynamical Quasicrystal", Europhys. Lett. v.20, N2 p.95-100 (1992) (here)

59. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Classical Stabilization of the Hydrogen Atom in a Monochromatic Field", Phys. Rev. A, v.47, N2 (1993) p. R786-R789 (here)

60. D.L.Shepelyansky, "Hydrogen in Monochromatic Field: Stabilization and Channeling vs. Chaos", Proc. XIII Int. Conf. on Atomic Physics, Munich, 1992 in: Atomic Physics 13, Edited by H.Walther, T.W.Hansch, and B.Neizert, AIP 1993, p.425-434 (here)

61. F.Borgonovi, D.L.Shepelyansky, "Breaking of Analiticity in 2 Coupled Frenkel-Kontorova Chains", Europhys. Lett. v.21, N4 (1993) p.413-418 (here)

62. D.L.Shepelyansky, "Delocalization of Quantum Chaos by Weak Nonlinearity", Phys. Rev. Lett. v.70 (1993) p.1787-1790 (here)

1994 - 1995

63. D.L.Shepelyansky, "Kramers Map Approach for stabilization of Hydrogen Atom in a Monochromatic Field", Phys. Rev. A. v.50 (1994) p.575-583 (here)

64. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Chaotic Autoionization of Molecular Rydberg States", Phys. Rev. Lett. v.72 (1994) p. 1818 (here) ; Phys. Rev. Lett. v.74 (1995) 3496 (here)

65. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Rydberg Stabilization of Hydrogen Atom in Strong Fields: The "Magic Mountain" in the Chaotic Sea", Z. Phys. B v.94 (1994) p.481-486 (here) (scan (here) )

66. P.Schmelcher, D.L.Shepelyansky, "Chaotic and Ballistic Dynamics for Two-dimensional Electrons in Periodic Magnetic Fields", Phys. Rev. B v.49 (1994) p.7418 (here)

67. D.L.Shepelyansky, "Analitical Determination of Stable Configurations in Doubly Excited Atoms and Ions", J. Phys. B: At. Mol. Opt. Phys. v. 27 (1994) L235-L242 (here)

68. D.L.Shepelyansky, "Quantum Localization, Chaos and Nonlinear Interactions", Proc. Int. Conf. The Grand Finale, 5-10 September 1993, Como, Italy; Physica D v.86 (1995) p. 45 - 52 (here)

69. D.L.Shepelyansky, "Coherent propagation of two interacting particles in a random potential", Phys. Rev. Lett. v.73 (1994) p.2607-2610 (here)

70. B.V.Chirikov, D.L.Shepelyansky, "Shnirelman peak in level spacing statistics", Phys. Rev. Lett. v.74 (1995) p. 518-521 (here) ; Preprint BINP 94-26, Novosibirsk 1994, BINP copy in English (here)

71. F.Borgonovi, D.L.Shepelyansky, "Adiabatic destruction of Anderson localization", Phys. Rev. E v.51 (1995) p.1026-1029 (here)

72. F.Borgonovi, D.L.Shepelyansky, "Spectral variety in the kicked Harper model", Europhys. Lett. v.29 (1995) p.117-122 (here)

73. D.L.Shepelyansky, A.D.Stone, "Chaotic Landau level mixing in classical and quantum wells", Phys. Rev. Lett. v.74 (1995) p.2098-2101 (here)

74. F.Borgonovi, D.L.Shepelyansky, "Enhancement of localization length for two interacting kicked rotators", Nonlinearity v.8 (1995) p. 877-890 (cond-mat/9503075) (here)

75. Ph. Jacquod, D.L.Shepelyansky, "Hidden Breit-Wigner distribution and other properties of random matries with preferential basis", Phys. Rev. Lett. v.75 (1995) p.3501-3504 (here)

1996

76. F.Borgonovi, D.L.Shepelyansky, "Two interacting particles in an effective 2-3-d random potential", J. de Physique I France v.6 (1996) p.287-299 (cond-mat/9507107) (here) ; update D.L.Shepelyansky, "Anderson transition in three and four effective dimensions for the frequency modulated kicked rotator", (arXiv:1102.4450[cond-mat.dis-nn] Feb 22 (2011) (here) )

77. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Chaos in a quasiclassical hadronic atom", Phys. Rev. A v.53 (1996) p.737-743 (here)

78. S.Ruffo, D.L.Shepelyansky, "Universal diffusion near the golden chaos border", Phys. Rev. Lett. v.76 (1996) p.3300-3303 (here)

79. D.L.Shepelyansky, O.P.Sushkov, "Few interacting particles in a random potential", Europhys. Lett. v.37 (1997) p.121-125; (cond-mat/9603023) (here)

80. D.L.Shepelyansky, "Interactions and localization: two interacting particles approach", in "Correlated fermions and transport in mesoscopic systems", Eds. T.Martin, G.Montambaux and J.Tr\^an Thanh V\^an, Editions Frontieres, Gif-sur-Yvette, p.201-210 (1996) (Proc. XXXI Moriond Workshop "Rencontres de Moriond", Les Arcs, 1996 (here) ); (cond-mat/9603086) (here)

81. F.Borgonovi, D.L.Shepelyansky, "Effect of noise for two interacting particles in a random potential", Europhys. Lett. v.35 (1996) p.517-521 (cond-mat/9603171) (here)

82. F.Benvenuto, G.Casati and D.L.Shepelyansky, "Dynamical localization: hydrogen atom in magnetic and microwave fields", Phys. Rev. A v.55 (1997) p.1732 - 1735 (cond-mat/9612155) (here)

83. Ph.Jacquod, D.L.Shepelyansky and O.P.Sushkov, "Breit-Wigner width for two interacting particles in a one-dimensional random potential", Phys. Rev. Lett. v.78 (1997) p.923 - 926, 21 May 1996 (cond-mat/9605141) (here)

84. D.L.Shepelyansky, "Two interacting particles in the Harper model", Phys. Rev. B v.54 (1996) p.14896 - 14898 (cond-mat/9609134) (here)

85. A.Barelli, J.Bellissard, Ph.Jacquod and D.L.Shepelyansky, "Double butterfly for two interacting particles in the Harper model", Phys. Rev. Lett. v. 77 (1996) p.4752 - 4755, 15 Sept 1996 (cond-mat/9609135) (here)

86. F.Borgonovi and D.L.Shepelyansky, "Particle propagation in a random and quasi-periodic potential", Physica D, v.109 (1997) p.24-31 (cond-mat/9610137) (here)

87. A.Barelli, J.Bellissard, Ph.Jacquod and D.L.Shepelyansky, "Two interacting Hofstadter butterflies", Phys. Rev. B v.55 (1997) p.9524 - 9533 (cond-mat/9610182) (here)

88. D.L.Shepelyansky, "Low energy chaos in the Fermi-Pasta-Ulam problem", Nonlinearity, v.10 (1997) p.1331-1338 (chao-dyn/9611005) (here)

89. K.M.Frahm and D.L.Shepelyansky, "Quantum localization in rough billiards", Phys. Rev. Lett. v.78 (1997) p.1440-1443 (cond-mat/9612118) (here)

90. Ph.Jacquod and D.L.Shepelyansky, "Two intercting quasiparticles above the Fermi sea", Phys. Rev. Lett. v. 78 (1997) p.4986 - 4989 (cond-mat/9612006) (here)

91. G.Benenti, G.Casati and D.L.Shepelyansky, "Chaotic enhancement of hydrogen atoms excitation in magnetic and microwave fields", Phys. Rev. A v.56 (1997) p.3297 - 3300 (cond-mat/9612238) (here)

1997

92. K.M.Frahm and D.L.Shepelyansky, "Emergence of quantum ergodicity in rough billiards", Phys. Rev. Lett. v.79 (1997) p.1833 - 1836 (cond-mat/9702135) (here)

93. G.Benenti, G.Casati and D.L.Shepelyansky, "100-photon microwave ionization of Rydberg atoms in a static electric field", Phys. Rev. A, v.57 (1998) p.1987-1991 (cond-mat/9704246) (here)

94. Ph.Jacquod and D.L.Shepelyansky, "Emergence of quantum chaos in finite interacting Fermi systems", Phys. Rev. Lett. v.79 (1997) p.1837-1840 (cond-mat/9706040) (here)

95. G.Casati, G.Maspero and D.L.Shepelyansky, "Relaxation process in a regime of quantum chaos", Phys. Rev. E, v. 56 (1997) p. R6233-R6236 (cond-mat/9706103) (here)

96. B.Georgeot and D.L.Shepelyansky, "Breit-Wigner width and inverse participation ratio in finite interacting Fermi systems", Phys. Rev. Lett. v.79 (1997) p.4365-4368 (cond-mat/9707231) (here)

97. G.Casati, G.Maspero and D.L.Shepelyansky, "Quantum fractal eigenstates", Physica D v. 131 (1999) p. 311 - 316 (cond-mat/9710118) (here) (color paper scan (here) ; color cond-mat version (here) )

1998

98. G.Benenti, G.Casati and D.L.Shepelyansky, "Chaotic enhancement in microwave ionization of Rydberg atoms", Eur. Phys. J. D, v. 5 (1999) p.311-326 (cond-mat/9805216) (here)

99. B.Georgeot and D.L.Shepelyansky, "Integrability and quantum chaos in spin glass shards", Phys. Rev. Lett., v. 81 (1998) p. 5129 - 5132 (cond-mat/9807123) (here)

100. G.Casati, G.Maspero and D.L.Shepelyansky, "Quantum Poncar\'e recurrences", Phys. Rev. Lett. v.82 (1999) p. 524 - 527 (cond-mat/9807145) (here)

101. B.V.Chirikov and D.L.Shepelyansky, "Asymptotic Statistics of Poincar\'e Recurrences in Hamiltonian Systems with Divided Phase Space", Phys. Rev. Lett. v.82 (1999) p.528 - 531 (cond-mat/9807365) (here) ; Preprint BINP 98-63, Novosibirsk 26 August 1998, BINP copy in English (here) ; [also ``To the problem of Poincar\'e recurrences in generic Hamiltonian systems'' (cond-mat/0207705) and Phys. Rev. Lett. v.89 (2002) p.239402 (here) ].

1999 - 2000

102. D.L.Shepelyansky, "Three-dimensional Anderson transition for two electrons in two dimensions", Phys. Rev. B, v.61 (2000) p. 4588 - 4591 (cond-mat/9902246) (here)

103. G.Benenti, X.Waintal, J.-L.Pichard and D.L.Shepelyansky, "Quantum opening of the Coulomb gap in two dimensions", (cond-mat/9903339); "Compressibility crossover and quantum opening of a gap for two dimensional disordered clusters with Coulomb repulsion", Europhys. J. B v.17 (2000) p.515-521 (cond-mat/0003208) (here)

104. P.H.Song and D.L.Shepelyansky, "Low energy transition in spectral statistics of two-dimensional interacting fermions", Phys. Rev. B v. 61 (2000) 15546 (cond-mat/9904229) (here)

105. D.L.Shepelyansky, "Two electron view on metal-insulator transition in two dimensions", Proc. XXXIV Rencontres de Moriond, "Quantum Physics at the Mesoscopic Scale", Les Arcs, 1999, (Eds. C.Glattli, M.Sanquer and J.Tr\^an Thanh V\^an, EDP Sciences, Les Ulis 2000, p.99 (here) ); (cond-mat/9905231) (here)

106. D.L.Shepelyansky and P.H.Song, "Quantum ergodicity for electrons in two dimensions", Proc. Localisation 99, Ann. Phys. (Leipzig) v. 8 (1999) N 7-9, pp. 665-673 (cond-mat/9907444) (here)

107. B.Georgeot and D.L.Shepelyansky, "Quantum chaos border for quantum computing", Phys. Rev. E v. 62 (2000) p.3504 (quant-ph/9909074) (here) (color version (here) )

108. G.Benenti, G.Casati, G.Maspero and D.L.Shepelyansky, "Quantum Poincar\'e Recurrences for Hydrogen Atom in a Microwave Field", Phys. Rev. Lett. v. 84 (2000) pp. 4088 - 4091 (cond-mat/9911200) (here)

109. J.Lages and D.L.Shepelyansky, "Cooper problem in the vicinity of the Anderson transition", Phys. Rev. B v.62 (2000) p. 8665 - 8668 (cond-mat/9911461) (here)

110. J.Lages and D.L.Shepelyansky, "Delocalization of two-particle ring near the Fermi level of 2d Anderson model", Eur. Phys. J. B v.21 (2001) p.129-133 (cond-mat/0002296) (here) (color version (here) )

111. G.Caldara, B.Srinivasan and D.L.Shepelyansky, "Ground-state properties of the two-dimensional disordered Hubbard model" Phys. Rev. B v.62 (2000) 10680 (cond-mat/0004092) (here)

112. B.Georgeot and D.L.Shepelyansky, "Emergence of quantum chaos in the quantum computer core and how to manage it", Phys. Rev. E v.62 (2000) 6366 (quant-ph/0005015) (here) (color version (here) )

113. D.L.Shepelyansky, "Quantum chaos & quantum computers" Nobel Symposium on Quantum Chaos Y2K, June 2000, Sweden, Physica Scripta v. T90 (2001) p.112 - 120 (quant-ph/0006073) + (here) ; [proofs (here) ; other (here) ]

114. G. Casati, G. Mantica and D.L.Shepelyansky, "Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator", Phys. Rev. E v.63 (2001) p. 066217 (cond-mat/0007437) (here)

115. P.H.Song and D.L.Shepelyansky, "Quantum computing of quantum chaos and imperfection effects", Phys. Rev. Lett. v. 86 (2001) p. 2162 - 2165 (quant-ph/0009005) (here)

116. G.Benenti, G.Casati and D.L.Shepelyansky, "Emergence of Fermi-Dirac thermalization in the quantum computer core", Eur. Phys. J. D v. 17 (2001) p. 265 - 272 (quant-ph/0009084) (here)

117. B.Georgeot and D.L.Shepelyansky, "Exponential gain in quantum computing of quantum chaos and localization", Phys. Rev. Lett. v. 86 (2001) p. 2890 - 2893 (quant-ph/0010005) (here)

118. A.D.Chepelianskii and D.L.Shepelyansky, "Repulsive trap for two electrons in a magnetic field", Phys. Rev. B v.63 (2001) p. 165310 (cond-mat/0011015) (here)

119. G.Benenti and D.L.Shepelyansky, "Magnetic field effect for two electrons in a two-dimensional potential", Phys. Rev. B v.63 (2001) p.235103 (cond-mat/0011461) (here)

2001

120. A.D.Chepelianskii and D.L.Shepelyansky, ``Dynamical turbulent flow on the Galton board with friction'', Phys. Rev. Lett. v.87 (2001) p. 034101 (cond-mat/0101006)
[ this is the first paper of Millennium III (1 Jan 2001 00:00:22 GMT)];
extended version (cond-mat/0103515) (here)

121. B.Georgeot and D.L.Shepelyansky, ``Quantum computing of classical chaos: smile of the Arnold-Sch\"odinger cat''" (quant-ph/0101004)
[this is the first quantum paper of Millennium III (1 Jan 2001 00:01:12 GMT) ];
``Stable quantum computation of unstable classical chaos'' Phys. Rev. Lett. v.86 (2001) p.5393 - 5396 (here) (color version (here) ) ; [related ``Efficient quantum computation of high harmonics of the Liouville density distribution'' quant-ph/0110142, Georgeot and Shepelyansky reply, Phys. Rev. Lett. v.88 (2002) p.219802 (here) ]

122. J.Lages, G.Benenti and D.L.Shepelyansky, ``Disordered Hubbard model with attraction: coupling energy of Cooper pairs in small clusters'', Phys. Rev. B v.63 (2001) p.214516 (cond-mat/0101265) (here)

123. B.Srinivasan and D.L.Shepelyansky, ``Disorder and superconductivity: a new phase of bi-particle localized states'', Eur. Phys. J. B v.24 (2001) p.469-473 (cond-mat/0102055) (here)

124. B.Georgeot and D.L.Shepelyansky, "Efficient quantum computing insensitive to phase errrors", in ``Electronic correlations: from meso- to nano-physics'' Eds. T.Martin, G.Montambaux, and J.T.Thanh Van, EDP Sciences, Les Ulis, 2001, p. 557 - 562 (Proceedings of the XXXVIth rencontres de Moriond, 2001 (here) ); (quant-ph/0102082) (here)

125. G.Benenti, G.Caldara and D.L.Shepelyansky, "Spin-polarized ground state for interacting electrons in two dimensions", Phys. Rev. Lett. v.86 (2001) p. 5333-5336 (cond-mat/0102326) (here)

126. J.Lages and D.L.Shepelyansky, "Phase of bi-particle localized states for the Cooper problem in two-dimensional disordered systems", Phys. Rev. B v. 64 (2001) p.094502 (cond-mat/0104194) (here)

127. B.Georgeot and D.L.Shepelyansky, ``Quantum computer inverting time arrow for macroscopic systems'', Eur. Phys. J. D v. 19 (2002) p.263-266 (quant-ph/0105149) (here)

128. O.V.Zhirov, G.Casati and D.L.Shepelyansky, ``Fractal Spin Glass Properties of Low Energy Configurations in the Frenkel-Kontorova chain '', Phys. Rev. E v.65 (2002) 026220 (cond-mat/0107131) (here) (related ``Phonon modes in the Frenkel-Kontorova chain: exponential localization and the number theory properties of frequency bands'' (cond-mat/0501188) (here) )

129. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, ``Efficient quantum computing of complex dynamics'', Phys. Rev. Lett. v.87 (2001) p.227901 [Fig.1 is on the cover page of Phys. Rev. Lett. of 26 Nov 2001] (quant-ph/0107036) (here) (original color version (here) )

130. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, ``Eigenstates of operating quantum computer: hypersensitivity to static imperfections'', Eur. Phys. J. D v.20 (2002) p. 293-296 (quant-ph/0112132) (here) (color version (here) )

2002

131. A.D.Chepelianskii and D.L.Shepelyansky, "Schrodinger cat animated on a quantum computer" (quant-ph/0202113) or "Simulation of chaos-assisted tunneling in a semiclassical regime on existing quantum computers" Phys. Rev. A v.66 (2002) p.054301 (here) (original color version (here) )

132. M.Terraneo, B.Georgeot and D.L.Shepelyansky, "Strange attractor simulated on a quantum computer", Eur. Phys. J. D v.22 (2003) p.127-130 (quant-ph/0203062) (here)

133. B.Srinivasan, G.Benenti and D.L.Shepelyansky, "Transition to an Insulating Phase Induced by Attractive Interactions in the Disordered Three-Dimensional Hubbard Model ", Phys. Rev. B v.66 (2002) p.172506 (cond-mat/0203508) (here)

134. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, "Statistical Properties of Eigenvalues for an Operating Quantum Computer with Static Imperfections ", Eur. Phys. J. D v.22 (2003) pp.285-293 (quant-ph/0206130) (here) (color version (here) )

135. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, ``Dynamical localization simulated on a few qubits quantum computer'', Phys. Rev. A v.67 (2003) p.052312 (quant-ph/0210052) (here)

136. O.V.Zhirov, G.Casati and D.L.Shepelyansky, ``Quantum phase transition in the Frenkel-Kontorova chain: from pinned instanton glass to sliding phonon gas'', Phys. Rev. E v.67 (2003) p.056209 (cond-mat/0210379) (here)

137. B.Levi, B.Georgeot and D.L.Shepelyansky, ``Quantum computing of quantum chaos in the kicked rotator model'', Phys. Rev. E v.67 (2003) p.046220 (quant-ph/0210154) (here)

2003

138.S.Bettelli and D.L.Shepelyansky, ``Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos'', Phys. Rev. A v. 67 (2003) p.054303 (quant-ph/0301086) (here)

139. B.Srinivasan, G.Benenti and D.L.Shepelyansky, ``Delocalizing effect of the Hubbard repulsion for electrons on a two-dimensional disordered lattice'', Phys. Rev. B v.67 (2003) p.205112 (cond-mat/0301623) (here)

140. M.Terraneo and D.L.Shepelyansky, ``Imperfection effects for multiple applications of the quantum wavelet transform'', Phys. Rev. Lett. v.90 (2003) p.257902 (quant-ph/0303043) (here) (original color extended version (here) )

141. A.A.Pomeransky and D.L.Shepelyansky, ``Quantum computation of the Anderson transition in the presence of imperfections'', Phys. Rev. A v.69 (2004) p.014302 (quant-ph/0306203) (here)

142. J.W.Lee, A.D.Chepelianskii and D.L.Shepelyansky, ``Treatment of sound on quantum computers'', (quant-ph/0309018) (here) , Proceedings of ERATO Conference on Quantum Information Science 2004, Tokyo, pp. 91-92 (2004); and "Applications of quantum chaos to realistic quantum computations and sound treatment on quantum computers", in ``Noise and information in nanoelectronics, sensors, and standards II'' Proceedings of SPIE Eds. J.M.Smulko, Y.Blanter, M.I.Dykman, L.B.Kish, v.5472, pp.246-251 (2004) (here) ; (color here) ;

143. M.Terraneo and D.L.Shepelyansky, ``Dynamical localization and repeated measurements in a quantum computation process'', Phys. Rev. Lett. v.92 (2004) p.037902 (quant-ph/0309192) (here)

144. K.M.Frahm, R.Fleckinger and D.L.Shepelyansky, ``Quantum chaos and random matrix theory for fidelity decay in quantum computations with static imperfections'', Eur. Phys. J. D v.29 (2004) p.139-155 [highlight paper of the issue] (quant-ph/0312120) (here) ;
"Universal regime of fidelity decay in realistic quantum computations", in ``Quantum information and decoherence in nanosystems'' Eds. D.C.Glattli, M.Sanquer, and J.T.Thanh Van, The Gioi Publ., 2004, p. 167 - 171 (Proceedings of the XXXIXth Rencontres de Moriond, 2004 (here) )

2004

145. A.D.Chepelianskii and D.L.Shepelyansky, "Directing transport by polarized radiation in the presence of chaos and dissipation", Phys. Rev. B v.71, 052508 (2005) (cond-mat/0402675) (here)

146. A.A.Pomeransky, O.V.Zhirov and D.L.Shepelyansky, ``Phase diagram for the Grover algorithm with static imperfections'', Eur. Phys. J. D v.31, (2004) p.131-135 (quant-ph/0403138) (here) ; (related A.A.Pomeransky, O.V.Zhirov and D.L.Shepelyansky, ``Effects of decoherence and imperfections for quantum algorithms'', Proceedings of ERATO Conference on Quantum Information Science 2004, Tokyo, pp. 171-172 (2004); (quant-ph/0407264) (here))

147. G.G.Carlo, G.Benenti, G.Casati and D.L.Shepelyansky, ``Quantum ratchets in dissipative chaotic systems'', Phys. Rev. Lett. v.94, p.164101 (2005) (cond-mat/0407702) (here) (original color version (here) )

148. O.Kern, G.Alber and D.L.Shepelyansky, "Quantum error correction of coherent errors by randomization", Eur. Phys. J. D v.32, p.153-156 (2005) (quant-ph/0407262) (here)

149. G.Cristadoro and D.L.Shepelyansky, "Nonequilibrium stationary states with ratchet effect", Phys. Rev. E v.71, 036111 (2005) (cond-mat/0410505) (here)

150. T.Prosen and D.L.Shepelyansky, "Mesoscopic ``Rydberg'' atom in a microwave field" (cond-mat) or "Microwave control of transport through a chaotic mesoscopic dot" Eur. Phys. J. B v.46, p.515-518 (2005) (cond-mat/0411155) (here)

151. M.Terraneo, B.Georgeot and D.L.Shepelyansky, "Quantum computation and analysis of Wigner and Husimi functions: toward a quantum image treatment", Phys. Rev. E v.71, p.066215 (2005) (quant-ph/0412123) (here)

2005

152. J.W.Lee and D.L.Shepelyansky, ``Quantum chaos algorithms and dissipative decoherence with quantum trajectories'', Phys. Rev. E, v.71, p.056202 (2005) (quant-ph/0501120) (here)

153. J.W.Lee, D.V.Averin, G.Benenti and D.L.Shepelyansky, ``A model of deterministic detector with dynamical decoherence'', (quant-ph/0501153); ``Model of a deterministic detector and dynamical decoherence'', Phys. Rev. A v.72, p.012310 (2005) (here)

154. G.Carlo, G.Benenti and D.L.Shepelyansky, ``Dissipative quantum chaos: transition from wave packet collapse to explosion'', Phys. Rev. Lett. v.95, p.164101 (2005) (quant-ph/0503081) (here)

155. O.Giraud, B.Georgeot and D.L.Shepelyansky, ``Quantum computing of delocalization in small-world networks'', Phys. Rev. E v.72, p.036203 (2005) (quant-ph/0503188) (here)

156. O.V.Zhirov and D.L.Shepelyansky, ``Quantum synchronization'', Eur. Phys. J. D v.38, p.375-379 (2006) (cond-mat/0507029) (here)

157. J.Lages and D.L.Shepelyansky, ``Suppression of quantum chaos in a quantum computer hardware'', Phys. Rev. E v.74, p.026208 (2006) (cond-mat/0510392) (here)

158. O.V.Zhirov and D.L.Shepelyansky, "Dissipative decoherence in the Grover algorithm", Eur. Phys. J. D v.38, p.405-408 (2006) (quant-ph/0511010) (here)

2006

159. I.Garcia-Mata, O.V.Zhirov and D.L.Shepelyansky, "Frenkel-Kontorova model with cold trapped ions", Eur. Phys. J. D v.41, p.325-330 (2007) (cond-mat/0606135) (here)

160. A.D.Chepelianskii and D.L.Shepelyansky, ``Magnetization of ballistic quantum dots induced by a linear-polarized microwave field'', Eur. Phys. J. B v.55, p.261-270 (2007) (here) ; (cond-mat/0610695 (here) )

2007

161. A.D.Chepelianskii, M.V.Entin, L.I.Magarill and D.L.Shepelyansky, ``Photogalvanic current in artificial asymmetric nanostructures'', Eur. Phys. J. B v.56, p.323-333 (2007) (here) ; (cond-mat/0701128 (here) ) (also "Theory of photogalvanic effect in asymmetric nanostructures arrays", Physica E v.40, pp.1264-1266 (2008) (here) )

162. I.Garcia-Mata, K.M.Frahm and D.L.Shepelyansky, "Effects of imperfections for Shor's factorization algorithm", Phys. Rev. A v.75, p.052311 (2007) (here) ; ERRATUM: Phys. Rev. A v.76, p.039904(E) (2007) (here) (quant-ph/0701169v3 (here) )

163. A.D.Chepelianskii, A.S.Pikovsky and D.L.Shepelyansky, "Synchnonization, zero-resistance states and rotating Wigner crystal", Eur. Phys. J. B v.60, p. 225-229 (2007) (here) (arxiv:0707.2694[cond-mat] (here) )

164. A.S.Pikovsky and D.L.Shepelyansky, "Destruction of Anderson localization by a weak nonlinearity", Phys. Rev. Lett. v.100, p.094101 (2008) (here) (arxiv:0708.3315[cond-mat] (here) )

165. D.L.Shepelyansky, "Fractal Weyl law for quantum fractal eigenstates", Phys. Rev. E. v.77, p.015202(R) (2008) (here) (arxiv:0709.2336[cond-mat] (here) )

166. O.V.Zhirov and D.L.Shepelyansky, "Synchronization and bistability of qubit coupled to a driven dissipative oscillator", Phys. Rev. Lett. v.100, p.014101 (2008) ( (here) ) (arxiv:0710.1967[cond-mat])

167. J.Martin, B.Georgeot and D.L.Shepelyansky, "Loschmidt cooling by time reversal of atomic matter waves", (arxiv:0710.4860[cond-mat] (here) ; "Cooling by time reversal of atomic matter waves", Phys. Rev. Lett. v.100, p.044106 (2008) ( (here) )

168. I.Garcia-Mata and D.L.Shepelyansky, "Quantum phase estimation algorithm in presence of static imperfections", Eur. Phys. J. D v.47, pp.151-156 (2008) (highlight paper (here) ); (arxiv:0711.1756[quant-ph] (here) )

2008

169. J.Martin, B.Georgeot and D.L.Shepelyansky, "Time reversal of Bose-Einstein condensates", Phys. Rev. Lett. v.101, p.074102 (2008) (here) ; (arxiv:0804.3514[cond-mat] (here) )

170. I.Garcia-Mata and D.L.Shepelyansky, "Delocalization induced by nonlinearity in systems with disorder", Phys. Rev. E v.79, p.026205 (2009) (here) ; (arxiv:0805.0539[cond-mat] (here) )

171. A.D.Chepelianskii, M.V.Entin, L.I.Magarill and D.L.Shepelyansky, "Ratchet transport of interacting particles", Phys. Rev. E v.78, p.041127 (2008) (here) ; (arxiv:0808.2970[cond-mat] (here) )

172. I.Garcia-Mata, K.Frahm and D.L.Shepelyansky, "Shor's factorization algorithm with a single qubit and imperfections", Phys. Rev. A v.78, p.062323 (2008) (here) ; (arxiv:0809.4416[quant-ph] (here) )

173. D.L.Shepelyansky, A.S.Pikovsky, J.Schmidt, F.Spahn "Synchronization mechanism of sharp edges in rings of Saturn", Mon. Not. R. Astron. Soc. v.395, pp.1934-1940 (2009) (here) ; (arxiv:0812.4372[astro-ph] (here) )

174. J.Martin, B.Georgeot and D.L.Shepelyansky, "Chaotic dynamics of a Bose-Einstein condensate coupled to a qubit", Phys. Rev. E v.79, p.066205 (2009) (here) ; (arxiv:0812.5067[cond-mat] (here) )

2009

175. I.Garcia-Mata and D.L.Shepelyansky, "Nonlinear delocalization on disordered Stark ladder", Eur. Phys. J. B v.71, pp.121-124 (2009) (here) (arxiv:0903.2103 (here) )

176. M.Mulansky, K.Ahnert, A.Pikovsky and D.L.Shepelyansky, "Dynamical thermalization of disordered nonlinear lattices", Phys. Rev. E v.80, p.056212 (2009) (here) (arxiv:0903.2191 (here) )

177. O.Giraud, B.Georgeot and D.L.Shepelyansky, "Delocalization transition for the Google matrix", Phys. Rev. E v.80, p.026107 (2009) (here) ; (arxiv:0903.5172 (here) )

178. O.V.Zhirov and D.L.Shepelyansky, " Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator", Phys. Rev. B v.80, p.014519 (2009) (here) ; (arxiv:0904.0289[cond-mat] (here) )

179. A.D.Chepelianskii and D.L.Shepelyansky, "Microwave stabilization of edge transport and zero-resistance states", Phys. Rev. B v.80, p.241308(R) (2009) (here) ; (arxiv:0905.0593[cond-mat] (here) )

180. K.M.Frahm and D.L.Shepelyansky, "Diffusion and localization for the Chirikov typical map", Phys. Rev. E v.80, p.016210 (2009) (here) ; (arxiv:0905.1884[cond-mat] (here) )

181. D.L.Shepelyansky and O.V.Zhirov, "Google matrix and dynamical attractors", (arxiv:0905.4162[cs.IR] (here) ); revised version Phys. Rev. E v.81, p.036213 (2010) "Google matrix, dynamical attractors and Ulam networks" (here) (arxiv:0905.4162v2[cs.IR] (here) )

182. I.B.Khriplovich and D.L.Shepelyansky, "Capture of dark matter by the Solar System", International Journal of Modern Physics D (IJMPD) v.18(12), pp.1903-1912 (2009) (DOI: 10.1142/S0218271809015758 for private use only) (here) (arxiv:0906.2480[astro-ph] (here) )

183. L.Ermann and D.L.Shepelyansky, "Google matrix and Ulam networks of intermittency maps", Phys. Rev E v.81, p.036221 (2010) (here) (arxiv:0911.3823[cs.IR] (here) )

184. L.Ermann and D.L.Shepelyansky, "Ulam method and fractal Weyl law for Perron-Frobenius operators", Eur. Phys. J. B v.75, p.299-304 (2010) (here) (arxiv:0912.5083[nlin.CD] (here) )

2010

185. M.V.Entin, L.I.Magarill and D.L.Shepelyansky, "Theory of resonant photon drag in monolayer graphene", Phys. Rev. B v.81, p.165441 (2010) (here) (arxiv:1002.0679[cond-mat] (here) )

186. B.Georgeot, O.Giraud and D.L.Shepelyansky, "Spectral properties of the Google matrix of the World Wide Web and other directed networks", Phys. Rev. E v.81, p.056109 (2010) (here) (arxiv:1002.3342[cs.IR] (here) )

187. D.L.Shepelyansky and O.V.Zhirov, "Towards Google matrix of brain", Phys. Lett. A v.374, p.3206-3209 (2010) (here) (arxiv:1002.4583[cond-mat] (here) )

188. K.M.Frahm and D.L.Shepelyansky, "Ulam method for the Chirikov standard map", Eur. Phys. J. B v.76, p.57-68 (2010) (here) (arxiv:1004.1349[nlin.CD] (here) )

189. O.V.Zhirov, A.S.Pikovsky and D.L.Shepelyansky, "Quantum compacton vacuum", (arxiv:1005.0778[cond-mat] (here) ); "Quantum vacuum of strongly nonlinear lattices", Phys. Rev. E v.83, p.016202 (2011) (here)

190. L.Ermann, A.D.Chepelianskii and D.L.Shepelyansky, "Fractal Weyl law for Linux Kernel Architecture", Eur. Phys. J. B v.79, p.115-120 (2011) (here) (arxiv:1005.1395[cs.CE] (here) , updated arxiv:1005.1395v3 (here) )

191. A.O.Zhirov, O.V.Zhirov and D.L.Shepelyansky, "Two-dimensional ranking of Wikipedia articles", Eur. Phys. J. B v.77, p.523-531 (2010) (here) (arxiv:1006.4270[cs.IR] (here) , update arxiv:1006.4270v2 (here) )

192. D.L.Shepelyansky, "Poincare recurrences in Hamiltonian systems with a few degrees of freedom", Phys. Rev. E v.82, p.055202(R) (2010) (here) (arxiv:1008.1465[nlin.CD] (here) ; update arxiv:1008.1465v2 (here) )

193. M.W.Abel and D.L.Shepelyansky, "Google matrix of business process management", Eur. Phys. J. B v.84, p.493 (2011) (here) (arxiv:1009.2631[cs.CY] (here) )

194. L.Ermann and D.L.Shepelyansky, "Relativistic graphene ratchet on semidisk Galton board", Eur. Phys. J. B v.79, p.357 (2011) (here) (arxiv:1010.4441v2[cond-mat.mes-hall] (here) )

195. J.Lages and D.L.Shepelyansky, "Superinsulator as a phase of bi-particle localized states", Eur. Phys. J. B v.81, pp.237-244 (2011) (here) (arXiv:1011.6642v1 [cond-mat.supr-con] (here) )

2011

196. O.V.Zhirov and D.L.Shepelyansky, "Wigner crystal in snaked nanochannels", Eur. Phys. J. B v.82, pp.63-67 (2011) (here) (arXiv:1102.1277[cond-mat.mes-hall] (here) )

197. M.Mulansky, K.Ahnert, A.Pikovsky and D.L.Shepelyansky, "Strong and weak chaos in weakly nonintegrable many-body Hamiltonian systems", J. Stat. Phys. v.145, p.1256-1274 (2011) (here) (arXiv:1103.2634v1 [nlin.CD] (here) )

198. L.Ermann and D.L.Shepelyansky, "Google matrix of the world trade network", Acta Physica Polonica A v.120(6A), pp. A158-A171 (2011) (here) (arxiv:1103.5027[physics.soc-ph] (here) )

199. K.M.Frahm, B.Georgeot and D.L.Shepelyansky, "Universal emergence of PageRank", J. Phys, A: Math. Theor. v.44, p.465101 (2011) (here) , highlight of J. Phys. A (here) (arxiv:1105.1062[cs.IR] (here) ; version2 (here) )

200. L.Ermann, A.D.Chepelianskii and D.L.Shepelyansky, "Toward two-dimensional search engines", J. Phys. A: Math. Theor. v.45, p.275101 (2012) (here) (arxiv:1106.6215[cs.IR] (here) ; v2 (here) )

201. L.Ermann and D.L.Shepelyansky, "The Arnold cat map, the Ulam method and time reversal", Physica D v.241, p.514 (2012) (here) (arxiv:1107.0437[nlin.CD] (here) )

202. K.M.Frahm and D.L.Shepelyansky, "Poincare recurrences of DNA sequences", Phys. Rev. E v.85, p.016214 (2012) (here) (arxiv:1109.0436[q-bio.GN] (here) ; update (here) ; update (here) )

203. O.V.Zhirov and D.L.Shepelyansky, "Wigner crystal in snaked nanochannels: outlook ", Physica B v. 407, p.1909-1911 (2012) (here) (arxiv:1110.1812[cond-mat.str-el] (here) )

2012

204. L.Ermann and D.L.Shepelyansky, "Ecological analysis of world trade", Phys. Lett. A v.377, p.250-256 (2013) (here) (arXiv:1201.3584[q-fin.GN] (here) )

205. D.L.Shepelyansky, "Kolmogorov turbulence, Anderson localization and KAM integrability", Eur. Phys. J. B v.85, p.199 (2012) (here) (arXiv:1203.1130v1 [nlin.CD] (here) )

206. V.Kandiah and D.L.Shepelyansky, "PageRank model of opinion formation on social networks", Physica A v.391, p.5779-5793 (2012) (here) (arXiv:1204.3806v1 [physics.soc-ph] (here) )

207. K.M.Frahm, A.D.Chepelianskii and D.L.Shepelyansky, "PageRank of integers", J. Phys. A: Math. Theor. v.45, p.405101 (2012) (here) (arXiv:1205.6343[cs.IR] (here) )

208. K.M.Frahm and D.L.Shepelyansky, "Google matrix of Twitter", Eur. Phys. J. B v.85, p.355 (2012) (here) (arXiv:1207.3414[cs.SI] (here) )

209. J.Lages and D.L.Shepelyansky, "Dark matter chaos in the Solar System", Mon. Not. Royal Ast. Soc. Lett. v.430, p.L25 (2013) (here) (arXiv:1211.0903[astro-ph.EP] (here) ; v2 (here) )

210. L.Ermann, A.D.Chepelianskii and D.L.Shepelyansky, "Symmetry breaking for ratchet transport in presence of interactions and magnetic field", Phys. Rev. E v.87, p.022912 (2013) (here) (arXiv:1211.4411[cond-mat.mes-hall] (here) )

211. L.Ermann, K.M.Frahm and D.L.Shepelyansky, "Spectral properties of Google matrix of Wikipedia and other networks", Eur. Phys. J. B v.86, p.193 (2013) (here) (arXiv:1212.1068 [cs.IR] (here) )

2013

212. V.Kandiah and D.L.Shepelyansky, "Google matrix analysis of DNA sequences", PLOS One v.8(5), p. e61519 (2013) (here) (arXiv:1301.1626[q-bio.GN] (here) )

213. K.M.Frahm and D.L.Shepelyansky, "Poincare recurrences and Ulam method for the Chirikov standard map ", Eur. Phys. J. B v.86, p.322 (2013) (submitted 12 Feb 2013) (here) (arXiv:1302.2761 [nlin.CD] (here) )

214. O.V.Zhirov, A.D.Chepelianskii and D.L.Shepelyansky, "Synchronization theory of microwave induced zero-resistance states", Phys. Rev. B v.88, p.035410 (2013) (here) (arXiv:1302.2778 [cond-mat.mes-hall] (here) )

215. Y.-H.Eom, K.M.Frahm, A.Benczur and D.L.Shepelyansky, "Time evolution of Wikipedia network ranking", Eur. Phys. J. B v.86, p.492 (2013) (here) (arXiv:1304.6601 [physics.soc-ph] (here) ; v2 (here) )

216. L.Chakhmakhchyan and D.L.Shepelyansky, "PageRank model of opinion formation on Ulam networks", Phys. Lett. A v.377, p.3119 (2013) (here) (arXiv:1305.7395 [nlin.CD] (here) )

217. Y.-H.Eom and D.L.Shepelyansky, "Highlighting entanglement of cultures via ranking of multilingual Wikipedia articles", PLoS ONE v.8(10), p. e74554 (2013) (here) (arXiv:1306.6259 [cs.SI] (here) )

218. L.Ermann and D.L.Shepelyansky, "Quantum Gibbs distribution from dynamical thermalization in classical nonlinear lattices", New J. Phys. v.15, p.123004 (2013) (here) , (video abstract 107MB)) (arXiv:1307.5707 [nlin.CD] (here) )

219. O.V.Zhirov and D.L.Shepelyansky, "Thermoelectricity of Wigner crystal in a periodic potential", Europhys. Lett. v.103, p.68008 (2013) (here) (arXiv:1308.2982 [cond-mat.mtrl-sci] (here) ; version2 (here) )

220. K.M.Frahm, Y.-H.Eom and D.L.Shepelyansky, "Google matrix of the citation network of Physical Review", Phys. Rev. E v.89, p.052814 (2014) (here) (arXiv:1310.5624 [physics.soc-ph] (here) )

221. V.Kandiah and D.L.Shepelyansky, "Google matrix analysis of C.elegans neural network", Phys. Lett. A v.378, p.1932 (2014) (here) (arXiv:1311.2013 [physics.soc-ph] (here) )

2014

222. K.M.Frahm and D.L.Shepelyansky, "Poisson statistics of PageRank probabilities of Twitter and Wikipedia networks", Eur. Phys. J. B v.87, p.93 (2014) (here) (arXiv:1402.5839 [physics.soc-ph] (here) )

223. G.Rollin, J.Lages and D.L.Shepelyansky, "Chaotic enhancement of dark matter density in binary systems and galaxies" (v1); "Chaotic enhancement of dark matter density in binary systems" (v2) Astronomy & Astrophysics v.576, p.A40 (2015) (here) (arXiv:1403.0254 [astro-ph.EP] (here) ; v2 (here) )

224. L.Ermann and D.L.Shepelyansky, "Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions", J. Phys. A: Math. Theor. v.47, p.335101 (2014) (here) (arXiv:1403.2692 [cond-mat.dis-nn] (here) )

225. Y.-H.Eom, P.Aragon, D.Laniado, A.Kaltenbrunner, S.Vigna and D.L.Shepelyansky, "Interactions of cultures and top people of Wikipedia from ranking of 24 language editions", PLoS ONE v.10(3), p.e0114825 (2015) (here) (arXiv:1405.7183 [cs.SI] (here) ; v2 (here) )

226. L.Ermann, K.M.Frahm and D.L.Shepelyansky, "Google matrix analysis of directed networks", Rev. Mod. Phys. v.87, p.1261 (2015) (here) (arXiv:1409.0428 [physics.soc-ph] (here) ; v2 (here) )

2015

227. L.Ermann and D.L.Shepelyansky, "Google matrix analysis of the multiproduct world trade network", Eur. Phys. J. B v.88, p.84 (2015) (here) (arXiv:1501.03371[q-fin.ST] (here) )

228. O.V.Zhirov and D.L.Shepelyansky, "Anderson transition for Google matrix eigenstates", Annalen der Physik (Berlin) v.527, N.8-10, p.713-722 (2015) (here) (arXiv:1502.00584 [cond-mat.dis-nn] (here) )

229. Y.-H.Eom and D.L.Shepelyansky, "Opinion formation driven by PageRank node influence on directed networks", Physica A v.436, p.707 (2015) (here) (arXiv:1502.02567 [physics.soc-ph] (here) )

230. V.Kandiah, H.Escaith and D.L.Shepelyansky, "Google matrix of the world network of economic activities", Eur. Phys. J. B v.88, p.186 (2015) (here) (arXiv:1504.06773 [q-fin.ST] (here) ); additional results are at "Contagion effects in the world network of economic activities", (arXiv:1507.03278 [q-fin.ST] (here) )

231. R.Palovics, B.Daroczy, A.Benczur, J.Pap, L.Ermann, S.Phan, A.D.Chepelianskii and D.L.Shepelyansky, "Statistical analysis of NOMAO customer votes for spots of France ", Eur. Phys. J. B v.88, p.194 (2015) (here) (arXiv:1504.03002 [physics.soc-ph] (here) )

232. L.Ermann, E.Vergini and D.L.Shepelyansky, "Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium", Europhys. Lett. v.111, p. 50009 (2015) [for private use only] (here) (arXiv:1505.05130 [cond-mat.quant-gas] (here) ; v2 (here) )

233. A.K.Mazur and D.L.Shepelyansky, "Algebraic statistics of Poincare recurrences in a DNA molecule", Phys. Rev. Lett. v.115, p.188104 (2015) (here) (arXiv:1508.01911 [q-bio.BM] (here) )

234. K.M.Frahm and D.L.Shepelyansky, "Freed by interaction kinetic states in the Harper model", Eur. Phys. J. B v.88, p.337 (2015) (here) (arXiv:1509.02788 [cond-mat.quant-gas] (here) ; v2 (here) )

235. G.Rollin, J.Lages and D.L.Shepelyansky, "Fractal structures for the Jacobi Hamiltonian of restricted three-body problem", New Astronomy v.47, p.97 (2016) (here) (arXiv:1509.07638 [astro-ph.EP] (here) ; v2 (here) )

236. K.M.Frahm and D.L.Shepelyansky, "Delocalization of two interacting particles in the two-dimensional Harper model", Eur. Phys. J. B v.89, p.8 (2016) (here) (arXiv:1510.01104 [cond-mat.quant-gas] (here) )

237. P.Schlageck and D.L.Shepelyansky, "Dynamical thermalization in Bose-Hubbard systems", Phys. Rev. E v.93, p.012126 (2016) (here) (arXiv:1510.01864 [cond-mat.quant-gas] (here) )

238. J.Lages, A.Patt and D.L.Shepelyansky, "Wikipedia ranking of world universities", Eur. Phys. J. B v.89, p.69 (2016) (here) (arXiv:1511.09021 [cs.SI] (here) ; v2 (here) )

2016

239. K.M.Frahm and D.L.Shepelyansky, "Reduced Google matrix", submitted to J. Phys. A: Math. Theor. Feb 7, (2016) (arXiv:1602.02394 [physics.soc-ph] (here) )

240. D.L.Shepelyansky, "Chaotic delocalization of two interacting particles in the classical Harper model", Eur. Phys. J. B v.89, p.157 (2016) (here) (arXiv:1604.03291 [cond-mat.quant-gas] (here) )

241. L.Ermann, E.Vergini and D.L.Shepelyansky, "Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap", Phys. Rev. A v.94, p.013618 (2016) (here) ; "Dynamics and thermalization of Bose-Einstein condensate in Sinai oscillator trap", arXiv:1605.02831 [cond-mat.quant-gas] (here) ; v2 (here) )

242. K.M.Frahm, K.Jaffres-Runser and D.L.Shepelyansky, "Wikipedia mining of hidden links between political leaders", Eur. Phys. J. B v.89, p.269 (2016) (here) (arXiv:1609.01948 [cs.SI] (here) )

243. K.M.Frahm, S. El Zant, K.Jaffres-Runser and D.L.Shepelyansky, "Multi-cultural Wikipedia mining of geopolitics interactions leveraging reduced Google matrix analysis", submitted to WWW2017 24 Oct (2016) - rejected; (arXiv:1612.07920 [cs.SI] (here) ); Phys. Lett. A v.381, p.2677-2685 (2017) (here)

244. J.Lages, D.L.Shepelyansky and I.I.Shevchenko, "Chaotic zones around cosmic spinning minor bodies", submitted to Nat. Astro. 6 Nov (2016) - rejected; "Chaotic zones around rotating small bodies" arXiv:1705.02845 [astro-ph.EP] (here) ; Astronomical Journal v.153, p.272 (2017) (here) (Nat. Astronomy highlight (here) )

245. A.R.Kolovsky and D.L.Shepelyansky, "Dynamical thermalization in isolated quantum dots and black holes", Europhys. Lett. v.117, p.10003 (2017) ( (here) only for private use); (arXiv:1612.06630 [cond-mat.str-el] (here) )

246. J.Lages, D.L.Shepelyansky and A.Zinovyev, "Inferring hidden causal relations between pathway members using reduced Google matrix of directed biological networks", submitted 22 Dec (2016) (doi: https://doi.org/10.1101/096362
http://biorxiv.org/content/early/2016/12/22/096362 (here) ); PLoS ONE v.13(1), p.e0190812 (2018) (here)

2017

247. L.Ermann, E.Vergini and D.L.Shepelyansky, "Kolmogorov turbulence defeated by Anderson localization for a Bose-Einstein condensate in a Sinai-oscillator trap", Phys. Rev. Lett. v.119, p.054103 (2017) (here) (arXiv:1703.07386 [cond-mat.quant-gas] (here) )

248. J.Martin, B.Georgeot, D.Guery-Odelin andD.L.Shepelyansky, "Kapitza stabilization of a repulsive Bose-Einstein condensate in an oscillating optical lattice", Phys. Rev. A v.97, p.023607 (2018) (here) , (here total) ; Erratum Phys. Rev. A v.97, p.039906(E) (2018) (here erratum) ; (arXiv:1709.07792 [cond-mat.quant-gas] (here) ; v3-corrected (here) )

249. S. El Zant, K.M.Frahm, K.Jaffres-Runser and D.L.Shepelyansky, "Analysis of world terror networks from the reduced Google matrix of Wikipedia", Eur. Phys. J. B v.91, p.7 (2018) (here) (arXiv:1710.03504 [cs.SI] (here) )

250. A.D.Chepelianskii and D.L.Shepelyansky, "Floquet theory of microwave absorption by an impurity in the two dimensional electron gas", Phys. Rev. B v.97, p.125415 (2018) (here) (arXiv:1711.02371 [cond-mat.mes-hall] (here) )

251. D.L.Shepelyansky, "Quantum chaos of dark matter in the Solar system", submitted to Phys. Rev. Lett. 17 Nov (2017) (arXiv:1711.07815 [quant-ph] (here) ; v2 (here) ; v3 (here) )

252. L.Ermann, K.M.Frahm and D.L.Shepelyansky, "Google matrix of Bitcoin networks", Eur. Phys. J. B v.91, p.127 (2018) (here) (arXiv:1711.11499 [cs.SI] (here) )

2018

253. S. El Zant, K.Jaffres-Runser and D.L.Shepelyansky, "Capturing the influence of geopolitical ties from Wikipedia with reduced Google matrix", PLoS ONE v.13(8), p.e0201397 (2018) (here) (arxiv:1803.05336 [cs.SI] (2018) (here) )

254. K.M.Frahm and D.L.Shepelyansky, "Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole", Eur. Phys. J. B v.91, p.257 (2018) (here) (arXiv:1804.10766 [cond-mat.str-el] (here) )

255. S. El Zant, K.Jaffres-Runser, K.M.Frahm and D.L.Shepelyansky, "Interactions and influence of world painters from the reduced Google matrix of Wikipedia networks", IEEE Access v.6, p.47735 (2018) (here) (arXiv:1807.01255 [cs.SI] (here) )

256. K.M.Frahm and D.L.Shepelyansky, "Small world of Ulam networks for chaotic Hamiltonian systems", Phys. Rev. E v.98, p.032205 (2018) (here) (arXiv:1807.05204 [nlin.CD] (here) )

257. C.Coquide, J.Lages and D.L.Shepelyansky, "World influence and interactions of universities from Wikipedia networks", Eur. Phys. J. B v.92, p.3 (2019) (here) (arXiv:1809.00332 [cs.SI] (here) )

258. G.Rollin, J.Lages and D.L.Shepelyansky, "World influence of infectious diseases from Wikipedia network analysis", IEEE Access v.7, p.26073 (2019) (here) ; (bioRxiv: www.biorxiv.org/content/early/2018/09/24/424465; doi.org/10.1101/424465 (here) )

259. L.Ermann and D.L.Shepelyansky, "Incommensurate standard map", Phys. Rev. E v.99, p.012215 (2019) (here) (arXiv:1810.11132 [nlin.CD] (here) )

260. K.M.Frahm and D.L.Shepelyansky, "Ising-PageRank model of opinion formation on social networks", Physica A v.526, p.121069 (2019) (here) (arXiv:1811.07349 [physics.soc-ph] (here) )

2019

261. M.Y.Zakharov, D.Demidov and D.L.Shepelyansky, "Wigner crystal diode" (arXiv:1901.05231 [cond-mat.mes-hall] (here) ; v2 (here) ); "Transport properties of a Wigner crystal in one- and two-dimensional asymmetric periodic potentials: Wigner crystal diode" Phys. Rev. B v.99, p.155416 (2019) (here)

262. G.Rollin, J.Lages and D.L.Shepelyansky, "Wikipedia network analysis of cancer interactions and world influence", PLoS ONE v.14(9), p.e0222508 (2019) (here) ; (bioRxiv: www.biorxiv.org/content/10.1101/527879v1 doi.org/10.1101/527879 (here) )

263. O.V.Zhirov, J.Lages and D.L.Shepelyansky, "Thermoelectricity of cold ions in optical lattices", Eur. Phys. J. D v.73, p.149 (2019) (here) (arXiv:1901.09588[cond-mat.quant-gas] (here) )

264. A.R.Kolovsky and D.L.Shepelyansky, "Evaporative cooling and self-thermalization in an open system of interacting fermions", Ann. Physik (Berlin) 2019, 1900231 (2019), doi.org/10.1002/andp.201900231 (here) (arXiv:1902.06929[cond-mat.quant-gas] (here) )

265. D.Demidov, K.M.Frahm and D.L.Shepelyansky, "What is the central bank of Wikipedia?", Physica A v.542, p.123199 (2020) (here) (arXiv:1902.07920[cs.SI] (here) )

266. D.L.Shepelyansky, "Quantum computer with cold ions in the Aubry pinned phase", Eur. Phys. J. D v.73, p.148 (2019) (here) (arXiv:1902.09850[quant-ph] (here) ; v2 (here) )

267. C.Coquide, L.Ermann, J.Lages and D.L.Shepelyansky, "Influence of petroleum and gas trade on EU economies from the reduced Google matrix analysis of UN COMTRADE data", Eur. Phys. J. B v.92, p.71 (2019) (here) (arXiv:1903.01820[q-fin.ST] (here) )

268. A.Zinovyev, U.Czerwinska, L.Cantini, E.Barillot, K.M.Frahm and D.L.Shepelyansky, "Collective intelligence defines biological functions in Wikipedia as communities in the hidden protein connection network", PLoS Comput Biol v.16(2), p. e1007652 (2020) (here) ; (bioRxiv http://dx.doi.org/10.1101/618447 (2019) (here) )

269. G.Rollin, J.Lages, T.S.Serebriyskaya and D.L.Shepelyansky, "Interactions of pharmaceutical companies with world countries, cancers and rare diseases from Wikipedia network analysis", PLoS ONE v.14(12), p.e0225500 (2019) (here) ; (bioRxiv http://doi.org/10.1101/614016 (here) )

270. C.Coquide, J.Lages and D.L.Shepelyansky, "Interdependence of sectors of economic activities for world countries from the reduced Google matrix analysis of WTO data", MDPI Entropy v.22, p.1407 (2020) (here) ; (arXiv:1905.06489[q-fin.TR] (here) )

271. C.Coquide, J.Lages and D.L.Shepelyansky, "Contagion in Bitcoin networks", accepted to 2nd Workshop on Blockchain and Smart Contract Technologies (BSCT 2019); W. Abramowicz and R. Corchuelo (Eds.): BIS 2019 Workshops, LNBIP 373, pp. 208--219 (2019), https://doi.org/10.1007/978-3-030-36691_18, Springer (2019), (here) ; (arXiv:1906.01293[q-fin.TR] (here) )

272. K.M.Frahm, L.Ermann and D.L.Shepelyansky, "Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap", contribution to the Special Issue in memory of Shmuel Fishman to appear at MDPI Condensed Matter journal, submitted 16 July (2019) (here) ; published article MDPI Condens. Matter v.4, p.76 (2019) (here) ; (arXiv:1907.06711[cond-mat.quant-gas]] (here) )

273. K.M.Frahm and D.L.Shepelyansky, "Linear response theory for Google matrix", submitted to Eur. Phys. J. B 23 August (2019) (arXiv:1908.08924[cs.SI] (here) )

274. K.M.Frahm and D.L.Shepelyansky, "Google matrix analysis of bi-functional SIGNOR network of protein-protein interactions", Physica A v.559, p.125019 (2020) (here) (bioRxiv:doi: https://doi.org/10.1101/750695 (here) ; arxiv:1909.10975[q-bio.MN] (here) )

275. M.Y.Zakharov, D.Demidov and D.L.Shepelyansky, "Thermoelectric properties of Wigner crystal in two-dimensional periodic potential", Eur. Phys. J. B v.93, p.31 (2020) (here) (arXiv:1910.12946[cond-mat.mes-hall] (here) )

276. O.V.Zhirov, J.Lages and D.L.Shepelyansky, "Thermoelectricity modeling with cold dipole atoms in Aubry phase of optical lattice", MDPI Appl. Sci. v.10, p.2090 (2020) (here) (arXiv:1911.06413[cond-mat.quant-gas] (here) )

2020

277. J.Loye, J.Lages and D.L.Shepelyansky, "Properties of phonon modes of ion trap quantum computer in the Aubry phase", Phys. Rev. A v.101, p.032349 (2020) (here) (arXiv:2002.03730[cond-mat.quant-gas] (here) )

278. K.M.Frahm and D.L.Shepelyansky, "Electron pairing by Coulomb repulsion in narrow band structures", Phys. Rev. Research v.2, p.023354 (2020) (here) (arXiv:2002.06556[cond-mat.supr-con] (here) )

279. C.Coquide, J.Lages and D.L.Shepelyansky, "Crisis contagion in the world trade network ", Appl. Network Science (Springer) v.5, p.67 (2020), doi.org/10.1007/s41109-020-00304-z (here) (arXiv:2002.07100[q-fin.TR] (here) )

280. L.Ermann, G.G.Carlo, A.D.Chepelianskii and D.L.Shepelyansky, "Jaynes-Cummings model under monochromatic driving", Phys. Rev. A v.102, p.033729 (2020) (here) (arXiv:2003.09803[quant-ph] (here) )

281. K.M.Frahm and D.L.Shepelyansky, "Coulomb electron pairing in a tight-binding model of La-based cuprate superconductors", Eur. Phys. J. B v.94, p.29 (2021) (here) ; bw copy (here) (doi.org/10.1140/epjb/s10051-020-00035-1); proofs copy (here) ; (arXiv:2007.12414[cond-mat.supr-con] (here) )

282. J.Loye, L.Ermann and D.L.Shepelyansky, "World impact of kernel European Union 9 countries from Google matrix analysis of the world trade network", Appl. Netw. Sci. v.6, p.37 (2021); https://doi.org/10.1007/s41109-021-00380-9 (here) (arXiv:2010.10962[cs.SI] (here) )

2021

283. L.Ermann and D.L.Shepelyansky, "Deconfinement of classical Yang-Mills color fields in a disorder potential", CHAOS (AIP) 31, 093106 (2021); https://doi.org/10.1063/5.0057969 (here) ; (arXiv:2103.16621[cond-mat.str-el] (here) )

284. E.Kotelnikova, K.M.Frahm, J.Lages and D.L.Shepelyansky, "Statistical properties of the MetaCore network of protein-protein interactions", Appl. Netw. Sci. v.7, p.7 (2022) (here) ); (bioRxiv https://doi.org/10.1101/2021.04.02.438245 (here) )

285. J.Loye, K.Jaffres-Runser and D.L.Shepelyansky, "Post-Brexit power of European Union from the world trade network analysis", Proc. 24th Inter. Conf. Business Information Systems, 14-17 June (2021), Hannover, Germany, Eds. W.Abramovich, S.Auer, E.Lewanska (TIB Open Publishing Hannover), p.39 (2021), https://doi.org/10.52825/bis.v1i.48 (here) ; (arXiv:2105.00939[cs.SI] (here) )

286. K.M.Frahm and D.L.Shepelyansky, "Chaotic Einstein-Podolsky-Rosen pairs, measurements and time reversal", Eur. Phys. J. D v.75, p. 277(2021); https://doi.org/10.1140/epjd/s10053-021-00274-6 (here) ); (arXiv:2106.03248[cond-mat.quant-gas] (here) )

287. E.Kotelnikova, K.M.Frahm, D.L.Shepelyansky and O.Kunduzova, "Fibrosis protein-protein interactions from Google matrix analysis of MetaCore network", Int. J. Mol. Sci. MDPI v.23, p.67 (2022);
doi.org/10.3390/ijms23010067 (here) ; (bioRxiv https://doi.org/10.1101/2021.10.20.465138 (here) )

2022

288. L.Ermann, K.M.Frahm and D.L.Shepelyansky, "Loschmidt echo and Poincare recurrences of entanglement", J. Phys. A: Math. Theor. v.55, p.234004 (2022) (here); (arXiv:2201.02600[quant.ph] (here) )

289. G.Rollin, J.Lages and D.L.Shepelyansky, "Random lasing from Anderson attractors", Phys. Rev. A v.105, p.053506 (2022) (here) ; (arXiv:2201.03884[physics.optics] (here) )

290. C.Coquide, J.Lages, L.Ermann and D.L.Shepelyansky, "COVID-19 impact on the international trade", MDPI Entropy v.24, p.327 (2022) (here) ; (arXiv:2201.07737 [q-fin.ST] (here) )

291. K.M.Frahm and D.L.Shepelyansky, "Cooper approach to pair formation in a tight-binding model of La-based cuprate superconductors", Eur. Phys. J. B v.95, p.187 (2022) (here) (only for personal use); (public link) ; (arXiv:2209.09057[cond-mat.supr-con] (here) )

292. C.Coquide, J.Lages, and D.L.Shepelyansky, "Dollar-Yuan battle in the World Trade Network", MDPI Entropy v.25, p.373 (2023) (here) ; (arXiv:2211.07180 [q-fin.TR] (here) )

293. K.M.Frahm and D.L.Shepelyansky, "Nonlinear perturbation of Random Matrix Theory", submitted to PRL 22 Dec (2022), Phys. Rev. Lett. v.131. p.077201 (2023) (here) , (arXiv:2212.11955 [cond-mat.stat-mech] (here) ; update 17 May 2023 (here) )

2023

294. C.Coquide, J.Lages, and D.L.Shepelyansky, "Prospects of BRICS currency dominance in international trade", Appl. Netw. Sci. v.8, p.65 (2023) (here) ; (arXiv:2305.00585 [q-fin.TR] (here) )

295. K.M.Frahm and D.L.Shepelyansky, "Goal quest for an intelligent surfer moving in a chaotic flow", Phys. Rev. E v.108, 054212 (2023) (here) ; (arXiv:2307.00019 [physics.soc-ph] (here) )

296. A.D.Chepelianskii and D.L.Shepelyansky, "Quantum synchronization and entanglement of dissipative qubits coupled to a resonator", MDPI Entropy v.26, p.415 (2024) (here) ; (arXiv:2308.03617 [quant-ph] (here) )

2024

297. C.Coquide, J.Lages, and D.L.Shepelyansky, "Opinion formation in the world trade network", MDPI Entropy v.26. p.141 (2024) (here) ; (arXiv:2401.02378 [q-fin.TR] (here) )

298. K.M.Frahm and D.L.Shepelyansky, "Random matrix model of Kolmogorov-Zakharov turbulence", Phys. Rev. E v.109, p.044201 (2024) (here) ; (arXiv:2401.11545 [cond-mat.stat-mech] (here) )

299. L.Ermann and D.L.Shepelyansky, "Confrontation of capitalism and socialism in Wikipedia Networks", MDPI Information v.15, p.571 (2024) (here) ; (https://doi.org/10.20944/preprints202408.0051.v1 (here) ); also arXiv:2408.07606[cs.SI]; erratum added (here) )

300. K.M.Frahm, E.Kotelnikova, O.Kunduzova and D.L.Shepelyansky, "Fibroblast-specific protein-protein interactions for myocardial fibrosis from MetaCore network", MDPI Biomolecules v.14, p.1395 (2024) (here) ; (bioRxiv doi: https://doi.org/10.1101/2024.09.04.611186 (here) )

301. K.M.Frahm and D.L.Shepelyansky, "Relations of society concepts and religions from Wikipedia networks", MDPI Information v.16, p.33 (2025) (here) ; (arXiv:2412.03285 [physics.soc-ph] (here) )

2025

302. L.Ermann, A.D.Chepelianskii, and D.L.Shepelyansky, "Dynamical thermalization, Rayleigh-Jeans condensate, vortexes and wave collapse in quantum chaos fibers and fluid of light", J. Phys. A: Math. Theor. v.59, p.055702 (2026) (here) ; (arXiv:2506.06534 [cond-mat.stat-mech] (here) ; arXiv:v3 (here) ; videovortex (here) )

303. K.M.Frahm and D.L.Shepelyansky, "Wealth thermalization hypothesis", June 19 (2025) (arXiv:2506.17720 [cond-mat.stat-mech] (here) ; v2 (here) ); "Wealth thermalization hypothesis and social networks", submitted to J. Stat. Phys. 21 Sept 2025 (arXiv:2506.17720 [cond-mat.stat-mech] (here) )

304. L.Ermann, K.M.Frahm and D.L.Shepelyansky, "Opinion formation in Wikipedia Ising networks", submitted to MDPI Information v.16, p.782 (2025) (here) ; (arXiv:2507.22254 [cs.SI] (here) )

305. K.Bukina and D.L.Shepelyansky, "Opinion formation at Ising social networks", MDPI Information v.17, p.41 (2026) (here) ; (arXiv:2511.12786 [physics.soc-ph] (here) )

306. K.M.Frahm and D.L.Shepelyansky, "Thermodynamic description of world GDP distribution over countries", submitted to Phys. Rev. E 6 Dec 2025 (here) ; (arXiv:2512.06420 [cond-mat.stat-mech] (here) )

307. A.D.Chepelianskii and D.L.Shepelyansky, "Kicked fluxonium with quantum strange attractor", MDPI Physics v.8, p.22 (2026) (here) ; (arXiv:2512.01844 [quant-ph] (here) )

2026

308. K.M.Frahm, and D.L.Shepelyansky, "Dynamical thermalization and turbulence in social stratification models", submitted to CHAOS 25 March (2026) (here) ; (arXiv:2603.24190 [cond-mat.stat-mech] (here) )

309. L.Ermann, A.D.Chepelianskii and D.L.Shepelyansky, "Boltzmann-Loschmidt dispute reloaded quantum 150 years later", submitted to Phys. Rev. Lett. 6 April (2026) (here) ; (arXiv:2604.04879[cond-mat.stat-mech] (here) )

Popular papers, encyclopedia articles, books, unpublished works

1p. D.L.Shepelyansky, "Investigations of a Dynamics of Quantum Systems Stochastic in the Classical Limit", Institute of Nuclear Physics, Novosibirsk (1981) [PhD thesis defended 16 March, 1982] (avtoreferat Dated 30 December 1981 in Russian (here) ; thesis: part 1 (here) , part 2 (here) , part 3 (here) , part 4 (here) );
[NGUuniversity graduate diplom "Investigation of quantum resonance", June 1978 (here) ]

2p.D.L.Shepelyansky, "The Theory of Diffusive Photoelectric Effect in Hydrogen Atom", Institute of Nuclear Physics, Novosibirsk (1988); Preprint INP 89-54, 89-89, 89-93, Novosibirsk (1989), BINP copy in Russian (here 89-54) , (here 89-89) , (here 89-93) ; [Doctor thesis (Habilitation) defended 6 December 1988] (avtoreferat Dated 28 October 1988 in Russian (here) ;
thesis: part 1 (here) ; part 2 (here) ; part 3 (here) ; part 4 (here) )

3p. J.Bellissard and D.L.Shepelyanski, "Boris Chirikov, a pioneer in Classical and Quantum Chaos", Annales de l'Institut Henri Poincaré (Phys. Théor.), v. 68 (1998) 378 - 523 (here) (also (here) )

4p. J.Bellissard, O.Bohigas, G.Casati and D.L.Shepelyansky, "A pioneer of chaos", Physica D v.131 (1999) ix-xv; "Sputnik of chaos" (Introduction to the special issue of Physica D in honor of Boris Chirikov (here) , reprint (here) ; extended version cond-mat/9903412 (here); Russian translation (here)

5p. B.Georgeot and D.L.Shepelyansky, "Les ordinateurs quantiques affrontent le chaos", (in French, "Images de la Physique 2003-2004", CNRS Edition, pp. 17-23; quant-ph/0307103) (here)

6p. R.Livi, S.Ruffo and D.L.Shepelyansky, "Le cheminement de Kolmogorov de l'integrabilite au chaos et au-dela", p.15-45, Eds. R.Livi et A.Vulpiani ``L'heritage de Kolmogorov en physique'' (Belin, Paris, (2003)) (in French);
``Kolmogorov pathways from integrability to chaos and beyond'', Eds. R.Livi and A.Vulpiani ``The Kolmogorov legacy in physics''
(Lecture Notes in Physics v.636, pp.3-32, Springer, Berlin (2003) (link to the Chapter) and (link to the book))
(proofs version here)

7p. G.Casati, D.L.Shepelyansky, P.Zoller and G.Benenti (Eds.) "Quantum Computers, Algorithms and Chaos", Volume 162 International School of Physics Enrico Fermi, 620pp. IOS Press, Delft, NL (2006) (ISBN: 1-58603-660-2; link to the book))
(first pages (here) )

8p. B.Chirikov, D.Shepelyansky, "Chirikov standard map", Scholarpedia, 3(3):3550 (2008). Scholarpedia article invited by Scholarpedia Editor, submitted 5 February (2008) ( link; pdf file (here) ; v2017 (here) ; updated version 31 Jul 2017 (here) ; update 21 Dec 2017 (here) ; update Dec 2019 (here) ); update Jan 2025 (here) )

9p. D.Shepelyansky, "Boris Chirikov", article at Wikipedia started at February 16, 2008 ( link; pdf file (here) )) [related articles at Wikipedia with my contribution: "Chirikov criterion", Feb 2008 ( link); "standard map", modifications at Feb 2008 ( link)]

10p. F.Izrailev, A.Lichtenberg and D.Shepelyansky, ``Boris Valerianovich Chirikov (obituary)'', Physics Today, p.67 June 2008 (here)

11p. D.Shepelyansky, "Boris Valerianovich Chirikov", article at Scholarpedia, 3(10):6628 (2008) ( link; pdf file (here) ))

12p. D.L.Shepelyansky (Ed.), "Reminiscences of Boris Chirikov", collection of reminiscences of colleages and friends about B.V.Chirikov, December 29, 2008, available at Scholarpedia link (and pdf file (here) )); short version in "Some elements for a history of the dynamical systems theory", by Ch.Letellier et al. Chaos v.31, p.053119 (2021) (here) )

13p. D.L.Shepelyansky, "Boris Chirikov - Sputnik of Chaos", personal reminiscences about Boris Chirikov, Russian extended version dedicated to 50th of Novosibirsk State University, dated September 3, 2009 (here) ; English version from Ref.12p. dated December 12, 2008 (here)

14p. D.Shepelyansky, "Chirikov criterion", article at Scholarpedia, 4(9):8567 (2009) ( link; pdf file (here) ))

15p. D.Shepelyansky, "Google Matrix", article at Wikipedia, significantly updated January (2011) ( link; pdf file (here) , update (here)), update 2013 (here))

16p. D.Shepelyansky, "CheiRank", article at Wikipedia, created in January (2011) ( link; pdf file (here) , update (here))

17p. D.Shepelyansky, "Introduction to category Quantum Chaos at Scholarpedia", version January (2012) (here)

18p. D.Shepelyansky, "Microwave ionization of hydrogen atoms", Scholarpedia v.7(1), p. 9795 (2012) (dated Jan 25 (2012)) ( link; pdf file (here) ; update (here) )

19p. D.L.Shepelyansky, "Chaos at Fifty Four in 2013", arXiv:1306.6570[nlin.CD] (2013) (here) ; short version at Physics Today v.67(3), p.10 (2014); http://dx.doi.org/10.1063/PT.3.2292 (here) (all discussion at Physics Today v.67(3), p.9 (2014); http://dx.doi.org/10.1063/PT.3.2291 (here) )

20p. D.L.Shepelyansky, "Oriol Bohigas", Scholarpedia, v.8(12), p.31656 (2013) (doi:10.4249/scholarpedia.31656) (here)

21p. D.Shepelyansky, "Top 100 historical figures of Wikipedia", article at Wikipedia, created in June (2014) by few authors and canceled by Wikipedia administration at June 2015 ( link; pdf file (here) ); D.L.Shepelyansky "Top 100 historial figures of Wikipedia" https://hal.archives-ouvertes.fr/hal-01184245/ (dated Aug 14, 2015) ( (here) )

22p. O.V.Zhirov, D.L.Shepelyansky, K.W.Epstein (composers), A.N.Skrinsky (head editor) "Boris Valerianovich Chirikov - legislator of chaos", BINP book about B.V.Chirikov in Russian and partially in English, short version, Publ. Siberian Division of Russian Academy of Sciences, Novosibirsk 2014 (ISBN 978-5-7692-1362-5); (here) ; polnaia versiia (here)

23p. L.Ermann, K.Frahm and D.Shepelyansky, "Google matrix", Scholarpedia, v.11(11), p.30944 (2016) (doi:10.4249/scholarpedia.30944) (here)

24p. J.Lages, D.Shepelyansky and I.I.Shevchenko, "Kepler map", Scholarpedia, v.13(2), p.33238 (2018) (doi:10.4249/scholarpedia.33238) (here)

25p. A.Benczur, M.Gromov, M.Kontsevich, D.Shepelyansky "Google matrix: fundamentals, applications and beyond" at IHES 60 celebration, 15 October 2018 (here)

26p. D.Shepelyansky (Scholarpedia Editor note), "Martin Gutzwiller", Scholarpedia Jan (2020), ( link, pdf file (here) )

27p. D.Shepelyansky (Scholarpedia Editor note), "Shnirelman theorem", Scholarpedia May (2020), ( link, pdf file (here) )

28p. D.Shepelyansky (Scholarpedia Editor note), "Dissipative quantum chaos", Scholarpedia May (2020), ( link, pdf file (here) )

29p. D.Shepelyansky, "Ehrenfest time and chaos", Scholarpedia v.15(9), p.55031 (2020), first published 26 Aug 2020, doi:10.4249/scholarpedia.55031 ( link, pdf file (here) )

30p. D.L.Shepelyansky, "My Erdős social numbers and links to world leading scientists", QWATR3, (2020), (link) and (here)

001unpub. A.D.Chepelianskii and D.L.Shepelyansky, "Quantum chaos in quantum networks", unpublished, poster at Quantum Computers and Quantum Chaos (Como, Italy), June 28-30 (2001) (here) and (here)

002unpub. D.L.Shepelyansky, "Proposal of experimental realization of 3D Anderson transition with kicked cold atoms", two letters to J.C.Garreau at 29 July 2005 and 3 Oct 2005, unpublished, (here)

003unpub. D.L.Shepelyansky, "Anderson transition in three and four effective dimensions for the frequency modulated kicked rotator", (arXiv:1102.4450[cond-mat.dis-nn] Feb 22 (2011) (here) )

004unpub. D.L.Shepelyansky, "Comment letter on arXiv:1401.1038 by N.Cherroret et al.", Jan 7 (2014) (here)

005unpub. D.L.Shepelyansky, "Capture cross-section for the 3-body problem", letter to M.Valtonen, November 11 (2015) (here)

006unpub. D.L.Shepelyansky, "Robert Fleckinger (15.09.1942 - 02.03.2019) (obituary)", Quantware web page www.quantware.ups-tlse.fr/robert/, dated April 10 (2019) (here)

007unpub. D.L.Shepelyansky, "Dynamical thermalization conjecture paradox", letter to A.Politi, A.Vulpiani, G.Benettin, R.Livi, S.Ruffo, B.Shapiro (CC: L.Ermann, A.Pikovsky), dated May 5 (2019) (here) ;
reply (re-battle) of Boris Shapiro (Technion) entitled "There is no paradox",
dated January 5, 2020, addressed to same colleagues plus T.Kottos;
(note small misprints: it's => its; yven => even)
(reply here) ; (related preprint here)
paradox was resolved and closed in (arXiv 22 Dec 2022 here); it was shown that classical thermal energy equipartition takes place,
*****2 lines above were posted at 23 Dec 2022**********
******lines below were posted at 1 Feb 2024*****
email was sent to colleages at 23 Dec 2022 (email 23 Dec 2022 here)
above arXiv was published at Phys. Rev. Lett in 2023 (PRL 2023 here)
comment on PRL by Tsampikos Kottos and Boris Shapiro (comment 31 Jan 2024 here)
reply to above comment by DS (DS reply 1 Feb 2024 here)
email to all colleagues plus T.Kottos sent 10 June 2025 with information about RJ thermalization in quantum chaos fiber (here)