English

On large deviations for amenable group actions

Dynamical Systems 2016-02-29 v2

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.

Keywords

Cite

@article{arxiv.1507.05130,
  title  = {On large deviations for amenable group actions},
  author = {Dongmei Zheng and Ercai Chen and Jiahong Yang},
  journal= {arXiv preprint arXiv:1507.05130},
  year   = {2016}
}

Comments

18 pages

R2 v1 2026-06-22T10:14:15.573Z