Entropy of irregular points for some dynamical systems
Dynamical Systems
2022-08-24 v1
Abstract
We derive sufficient conditions for a dynamical systems to have a set of irregular points with full topological entropy. Such conditions are verified for some nonuniformly hyperbolic systems such as positive entropy surface diffeomorphisms and rational functions on the Riemann sphere.
Cite
@article{arxiv.2112.00175,
title = {Entropy of irregular points for some dynamical systems},
author = {Katrin Gelfert and Maria Jose Pacifico and Diego Sanhueza},
journal= {arXiv preprint arXiv:2112.00175},
year = {2022}
}