Back to home page

Publications: 11. Networks and Google matrix

(Winter tree nets, Akademgorodok)

2001
11.1. A.D.Chepelianskii and D.L.Shepelyansky, "Quantum chaos in quantum networks", unpublished, poster at Quantum Computers and Quantum Chaos (Como, Italy), June 28-30 (2001) (here) and (here)
2005
11.2. 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)
2007
11.3. 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) )
2009
11.4. 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) )
11.5. 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) )
11.6. 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) )
11.7. 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
11.8. 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) )
11.9. 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) )
11.10. 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) )
11.11. 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) )
11.12. M.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) )
2011
11.13. D.Shepelyansky, "Google Matrix", article at Wikipedia, significantly updated January (2011) ( link; pdf file (here) , update (here)), update 2013 (here))
11.14 D.Shepelyansky, "CheiRank", article at Wikipedia, created in January (2011) ( link; pdf file (here) , update (here))
11.15. 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) )
11.16 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) )
11.17 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) )
2012
11.18. 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) )
11.19 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) )
11.20 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) )
11.21 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) )
11.22 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
11.23. 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) )
11.24. 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) )
11.25. 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) )
11.26. 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) )
11.27. 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) )
11.28. 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
11.29. 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) )
11.30. 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) )
11.31. D.Shepelyansky, "Top 100 historical figures of Wikipedia", article at Wikipedia, created in June (2014) by few authors ( link; pdf file (here) )
11.32. 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
11.33. 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) )
11.34. 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) )
11.35 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) )
11.36 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) )
11.37 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) )
11.38 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
11.39. 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] (here) )
11.40 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) )
11.41 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)
11.42. L.Ermann, K.Frahm and D.Shepelyansky, "Google matrix", Scholarpedia v.11(11), p.30944 (2016) (doi:10.4249/scholarpedia.30944) (here)
11.43. 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
11.44. 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) )
11.45. 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
11.46. 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) )
11.47. 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) )
11.48. K.M.Frahm and D.L.Shepelyansky, "Small world of Ulam networks for chaotic Hamiltonian dynamics", Phys. Rev. E v.98, p.032205 (2018) (here) (arXiv:1807.05204 [nlin.CD] (here) )
11.49. 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) )
11.50. 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) )
11.51 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
11.52. 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) )
11.53. 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) )
11.54. 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.171 (2019) (here) (arXiv:1903.01820[q-fin.ST] (here) )
11.55. 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) )
11.56. 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) )
11.57. 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) )
11.58 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 v.373, pp. 208--219 (2019), https://doi.org/10.1007/978-3-030-36691-9_18, Springer (2019) (here) ; (arXiv:1906.01293[q-fin.TR] (here) )
11.59 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) )
11.60 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:https://doi.org/10.1101/750695 (here) ; arxiv:1909.10975[q-bio.MN] (here) )
2020
11.61. 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) )
11.62 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
11.63. 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) )
11.64. 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) )
11.65. 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
11.66. 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) )
11.67. 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) )
2023
11.68. 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) )
11.69 K.M.Frahm and D.L.Shepelyansky, "Goal quest for an intelligent surfer moving in a chaotic flow", submitted to PRE 26 June (2023) (arXiv:2307.00019 [physics.soc-ph] (here) )
2024
11.70. 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) )