Upper bounds on measure theoretic tail entropy for dominated splittings
Dynamical Systems
2019-01-08 v1
Abstract
For differentiable dynamical systems with dominated splittings, we give upper estimates on the measure-theoretic tail entropy in terms of Lyapunov exponents. As our primary application, we verify the upper semi-continuity of metric entropy in various settings with domination.
Cite
@article{arxiv.1901.01694,
title = {Upper bounds on measure theoretic tail entropy for dominated splittings},
author = {Yongluo Cao and Gang Liao and Zhiyuan You},
journal= {arXiv preprint arXiv:1901.01694},
year = {2019}
}