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real projective structure

Ergodic Theory and Dynamical Systems (1)

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1 results

Continuity of the SRB entropy of convex projective structures
Part of
- Real and complex geometry
PATRICK FOULON, INKANG KIM
Journal:

Ergodic Theory and Dynamical Systems / Volume 41 / Issue 8 / August 2021

Published online by Cambridge University Press:

04 June 2020, pp. 2369-2381

Print publication:

August 2021
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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.