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Continuity of the Sinai-Ruelle-Bowen measure entropy

Geometric Topology 2019-05-28 v2 Dynamical Systems

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.

Keywords

Cite

@article{arxiv.1708.08564,
  title  = {Continuity of the Sinai-Ruelle-Bowen measure entropy},
  author = {Patrick Foulon and Inkang Kim},
  journal= {arXiv preprint arXiv:1708.08564},
  year   = {2019}
}

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14 pages