A note on two types of Lyapunov exponents and entropies for $\mathbb{Z}^k$-actions
Dynamical Systems
2017-06-20 v1
Abstract
In this paper, two types of Lyapunov exponents: random Lyapunov exponents and directional Lyapunov exponents, and the corresponding entropies: random entropy and directional entropy, are considered for smooth -actions. The close relation among these quantities are investigated and the formulas of them are given via the Lyapunov exponents of the generators.
Keywords
Cite
@article{arxiv.1706.05453,
title = {A note on two types of Lyapunov exponents and entropies for $\mathbb{Z}^k$-actions},
author = {Yujun Zhu},
journal= {arXiv preprint arXiv:1706.05453},
year = {2017}
}