Continuity of the SRB entropy of convex projective structures

被引：1

作者：

Foulon, Patrick ^{[1
,2
]}

Kim, Inkang ^{[3
]}

机构：

[1] Aix Marseille Univ, CNRS, Soc Math France, CIRM Ctr Int Rencontres Math, Marseille, France

[2] UMR 822, 163 Ave Luminy, F-13288 Marseille 9, France

[3] KIAS, Sch Math, Heogiro 85, Seoul 02455, South Korea

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2021年 / 41卷 / 08期

关键词：

real projective structure; Sinai-Ruelle-Bowen measure; entropy; METRIC ENTROPY; REGULARITY; SURFACES;

D O I：

10.1017/etds.2020.48

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The space of convex projective structures has been well studied with respect to the topological entropy. But, to better understand the geometry of the structure, we study the entropy of the Sinai-Ruelle-Bowen measure and show that it is a continuous function on the space of strictly convex real projective structures.

引用

页码：2369 / 2381

页数：13