Entropies of commuting transformations on Hilbert spaces
Dynamical Systems
2020-06-16 v1 Functional Analysis
Abstract
By establishing Multiplicative Ergodic Theorem for commutative transformations on a separable infinite dimensional Hilbert space, in this paper, we investigate Pesin's entropy formula and SRB measures of a finitely generated random transformations on such space via its commuting generators. Moreover, as an application, we give a formula of Friedland's entropy for certain -actions.
Cite
@article{arxiv.2006.08077,
title = {Entropies of commuting transformations on Hilbert spaces},
author = {Zhiming Li and Yujun Zhu},
journal= {arXiv preprint arXiv:2006.08077},
year = {2020}
}