### 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.

Original language | English (US) |
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Pages (from-to) | 89-101 |

Number of pages | 13 |

Journal | Communications In Mathematical Physics |

Volume | 112 |

Issue number | 1 |

DOIs | |

State | Published - Mar 1 1987 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Khanin, K. M., & Sinai, Y. G. (1987). A new proof of M. Herman's theorem.

*Communications In Mathematical Physics*,*112*(1), 89-101. https://doi.org/10.1007/BF01217681