Equilibrium States for Center Isometries

Autor:	Carrasco, Pablo D., Rodriguez-Hertz, Federico
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems 37C40 37D35 37D40
Zdroj:	J. Inst. Math. Jussieu 23 (2024) 1295-1355
Druh dokumentu:	Working Paper
DOI:	10.1017/S147474802300018X
Popis:	We develop a geometric method to establish existence and uniqueness of equilibrium states associated to some H\"older potentials for center isometries (as are regular elements of Anosov actions), in particular the entropy maximizing measure and the SRB measure. It is also given a characterization of equilibrium states in terms of their disintegrations along stable and unstable foliations. Finally, we show that the resulting system is isomorphic to a Bernoulli scheme. Comment: 53 pages. This version incorporates the reviewer suggestions and corrections. To appear in Journal of the Institute of Mathematics of Jussieu
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.07323 Zobrazit plný text záznamu View this record from Arxiv