Continuity of the Sinai-Ruelle-Bowen measure entropy

2017/08/29 by Foulon, Patrick, Kim, Inkang
#Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1708.08564

Abstract

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.

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