Unstable Entropy and Unstable Pressure for Partially Hyperbolic Endomorphisms
Dynamical Systems
2020-01-22 v1
Abstract
In this paper, unstable metric entropy, unstable topological entropy and unstable pressure for partially hyperbolic endomorphisms are introduced and investigated. A version of Shannon-McMillan-Breiman Theorem is established, and a variational principle is formulated, which gives a relationship between unstable metric entropy and unstable pressure (unstable topological entropy). As an application of the variational principle, some results on the -equilibrium states are given.
Cite
@article{arxiv.2001.06574,
title = {Unstable Entropy and Unstable Pressure for Partially Hyperbolic Endomorphisms},
author = {Xinsheng Wang and Weisheng Wu and Yujun Zhu},
journal= {arXiv preprint arXiv:2001.06574},
year = {2020}
}
Comments
25 pages. arXiv admin note: text overlap with arXiv:1811.12674