Maximal measure and entropic continuity of Lyapunov exponents for $C^r$ surface diffeomorphisms with large entropy
Dynamical Systems
2023-03-30 v4
Abstract
We prove a finite smooth version of the entropic continuity of Lyapunov exponents of Buzzi-Crovisier-Sarig for surface diffeomorphisms [9]. As a consequence we show that any , , smooth surface diffeomorphism with admits a measure of maximal entropy. We also prove the continuity of the topological entropy at .
Keywords
Cite
@article{arxiv.2202.07266,
title = {Maximal measure and entropic continuity of Lyapunov exponents for $C^r$ surface diffeomorphisms with large entropy},
author = {David Burguet},
journal= {arXiv preprint arXiv:2202.07266},
year = {2023}
}
Comments
to appear in Annales Henri Poincar{\'e}