Density of periodic measures and large deviation principle for generalized $(\alpha, \beta)$-transformations

Autor:	Shinoda, Mao, Yamamoto, Kenichiro
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We introduce generalized $(\alpha,\beta)$-transformations, which include all $(\alpha,\beta)$ and generalized $\beta$-transformations, and prove that all transitive generalized $(\alpha,\beta)$-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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.09601 Zobrazit plný text záznamu View this record from Arxiv