Continuity of the Sinai-Ruelle-Bowen measure entropy

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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Bibliographic Details
Published inarXiv.org
Main Authors Foulon, Patrick, Inkang Kim
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 27.05.2019
Subjects
Continuity (mathematics)
Entropy
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Summary: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.
ISSN:2331-8422