On large deviations for amenable group actions

Dongmei  Zheng; Ercai  Chen; Jiahong  Yang

doi:10.3934/dcds.2016113

Article Contents

2016, Volume 36, Issue 12: 7191-7206. Doi: 10.3934/dcds.2016113

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On large deviations for amenable group actions

1.
School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210023
2.
School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing 210023, Jiangsu

Received: July 31, 2015

Revised: June 30, 2016

Published: May 2017

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Abstract

By proving an amenable version of Katok's entropy formula and handling the quasi tiling techniques, we establish large deviations bounds for countable discrete amenable group actions. This generalizes the classical results of Lai-Sang Young [21].

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Mathematics Subject Classification: Primary: 37A15, 37A60; Secondary: 60F10.

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References

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