Entropy of physical measures for $C^\infty$ smooth systems
Dynamical Systems
2019-09-04 v2
Abstract
For a map on a compact manifold we prove that for a Lebesgue randomly picked point x there is an empirical measure from with entropy larger than or equal to the sum of positive Lyapunov exponents at .
Keywords
Cite
@article{arxiv.1812.04308,
title = {Entropy of physical measures for $C^\infty$ smooth systems},
author = {David Burguet},
journal= {arXiv preprint arXiv:1812.04308},
year = {2019}
}
Comments
Appendix B added