Density of periodic measures and large deviation principle for generalized $(\alpha, \beta)$-transformations
Dynamical Systems
2022-06-22 v1
Abstract
We introduce generalized -transformations, which include all and generalized -transformations, and prove that all transitive generalized -transformations satisfy the level-2 large deviation principle with a unique measure of maximal entropy. A crucial step in our proof is to establish density of periodic measures in the set of ergodic measures.
Cite
@article{arxiv.2206.09601,
title = {Density of periodic measures and large deviation principle for generalized $(\alpha, \beta)$-transformations},
author = {Mao Shinoda and Kenichiro Yamamoto},
journal= {arXiv preprint arXiv:2206.09601},
year = {2022}
}