The Katok's entropy formula for amenable group actions

Xiaojun Huang; Jinsong Liu; Changrong Zhu

doi:10.3934/dcds.2018195

Article Contents

2018, Volume 38, Issue 9: 4467-4482. Doi: 10.3934/dcds.2018195

This issue Previous Article Hamiltonian structure of peakons as weak solutions for the modified Camassa-Holm equation Next Article Mixed dynamics of 2-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies

The Katok's entropy formula for amenable group actions

1.
College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
2.
HLM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
3.
School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

* Corresponding author: hxj@cqu.edu.cn
* Corresponding author: hxj@cqu.edu.cn

Received: August 31, 2017

Revised: March 31, 2018

Published: August 2018

The first and second authors are supported by NSF of China No.11471318 and No.11671057; The second author is also supported by NSF of China No.11688101; the third author is supported by NSF of China No.11671058

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Abstract

In this paper we generalize Katok's entropy formula to a large class of infinite countably amenable group actions.

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Mathematics Subject Classification: Primary: 37A35; Secondary: 37B40.

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References

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