Density of periodic measures and large deviation principle for generalized $(\alpha, \beta)$-transformations
Autor: | Shinoda, Mao, Yamamoto, Kenichiro |
---|---|
Rok vydání: | 2022 |
Předmět: | |
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: |