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Continuity of the SRB entropy of convex projective structures
Ergodic Theory and Dynamical Systems ( IF 0.9 ) Pub Date : 2020-06-04 , DOI: 10.1017/etds.2020.48
PATRICK FOULON , INKANG KIM

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.

中文翻译:

凸射影结构的 SRB 熵的连续性

关于拓扑熵,凸射影结构的空间已经得到了很好的研究。但是,为了更好地理解结构的几何学,我们研究了 Sinai-Ruelle-Bowen 测度的熵,并表明它是严格凸实射影结构空间上的连续函数。
更新日期:2020-06-04
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