2 papers
math.DS2020
Scale pressure for amenable group actions
Dandan Cheng, Qian Hao, Zhiming Li
In this paper we introduce the notion of scale pressure and measure theoretic scale pressure for amenable group actions. A variational principle for amenable group actions is prese…
math.DS2020
Entropies of commuting transformations on Hilbert spaces
Zhiming Li, Yujun Zhu
By establishing Multiplicative Ergodic Theorem for commutative transformations on a separable infinite dimensional Hilbert space, in this paper, we investigate Pesin's entropy form…