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Communications in Mathematical Physics

, Volume 112, Issue 1, pp 89–101 | Cite as

A new proof of M. Herman's theorem

  • K. M. Khanin
  • Ya. G. Sinai
Article

Abstract

A new proof of the M. Herman theorem on the smooth conjugacy of a circle map is presented here. It is based on the thermodynamic representation of dynamical systems and the study of the ergodic properties for the corresponding radom variables.

Keywords

Neural Network Dynamical System Statistical Physic Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • K. M. Khanin
    • 1
  • Ya. G. Sinai
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsMoscow, V-334USSR

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