Constant periodic data and entropy of Anosov diffeomorphisms

Autor:	Micena, Fernando
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We study the effects that the constant periodic data condition have on topological entropy of Anosov diffeomorphisms. Under constant periodic data condition we prove that Anosov diffeomorphism has finitely many measures of maximal entropy and each one of them is absolutely continuous with respect to Lebesgue. From this, in the setting of $C^{\infty}-$Anosov diffeomorphisms satisfying constant periodic data, we provide a characterization of transitivity property via measures of maximal entropy. Comment: arXiv admin note: text overlap with arXiv:2006.00406
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.06196 Zobrazit plný text záznamu View this record from Arxiv