Formula of Entropy along Unstable Foliations for $C^1$ Diffeomorphisms with Dominated Splitting
Dynamical Systems
2017-11-09 v1
Abstract
Metric entropies along a hierarchy of unstable foliations are investigated for diffeomorphisms with dominated splitting. The analogues of Ruelle's inequality and Pesin's formula, which relate the metric entropy and Lyapunov exponents in each hierarchy, are given.
Keywords
Cite
@article{arxiv.1711.02851,
title = {Formula of Entropy along Unstable Foliations for $C^1$ Diffeomorphisms with Dominated Splitting},
author = {Xinsheng Wang and Lin Wang and Yujun Zhu},
journal= {arXiv preprint arXiv:1711.02851},
year = {2017}
}