Characterization of Ergodic Measures of Maximal Entropy for Topologically Transitive Partially Hyperbolic Diffeomorphisms with compact center leaves
Dynamical Systems
2025-10-06 v2
Abstract
In this paper, we provide an upper bound on the number of maximal entropy ergodic measures with zero Lyapunov exponent for topologically transitive partially hyperbolic diffeomorphisms with compact one-dimensional center leaves on . Furthermore, we establish a comprehensive characterization of the support of these measures.
Keywords
Cite
@article{arxiv.2507.23081,
title = {Characterization of Ergodic Measures of Maximal Entropy for Topologically Transitive Partially Hyperbolic Diffeomorphisms with compact center leaves},
author = {Jorge Crisostomo and Richard Cubas},
journal= {arXiv preprint arXiv:2507.23081},
year = {2025}
}
Comments
In preparation for journal submission