Date: Fri, 23 Dec 2022 14:12:05 +0100 (CET) From: dima To: a.politi@abdn.ac.uk Cc: angelo.vulpiani@roma1.infn.it, benettin@math.unipd.it, Roberto.Livi@fi.infn.it, stefano.ruffo@sissa.it, boris@physics.technion.ac.il, Leonardo Ermann , Arkady Pikovsky , FRAHM Klaus Subject: dynamical thermalization Dear friends, in relation to my letter addressed to you on 5 May 2019 https://www.quantware.ups-tlse.fr/dima/myrefs/myunp007.pdf about dynamical thermalization paradox in nonlinear chains and oscillator systems: I should state that the paradox was resolved and closed in https://arxiv.org/abs/2212.11955 Nonlinear perturbation of Random Matrix Theory by K.M.Frahm and me It is shown that the classical energy equipartition in these systems takes place on long times. The physical explanation is given in this preprint. Happy New Year wishes and Best regards, Dima Shepelyansky