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A new proof of M. Herman's theorem

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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.

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Authors and Affiliations

  1. L. D. Landau Institute for Theoretical Physics, Kosygin Str. 2, SU-117334, Moscow, V-334, USSR

    K. M. Khanin & Ya. G. Sinai

Authors
  1. K. M. Khanin
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  2. Ya. G. Sinai
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Communicated by E. Lieb

Dedicated to Walter Thirring on his 60th birthday

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Khanin, K.M., Sinai, Y.G. A new proof of M. Herman's theorem. Commun.Math. Phys. 112, 89–101 (1987). https://doi.org/10.1007/BF01217681

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  • DOI: https://doi.org/10.1007/BF01217681

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