6 papers
Nonlinear thermodynamic formalism for correspondences
Dingxuan Tang, Rui Yang, Zhiming Li
We develop a nonlinear thermodynamic formalism for correspondences on compact metric spaces. A continuous energy is evaluated on empirical measures of successive pairs of states. T…
On the geometry of Certain Non-Basic Affine Deligne-Lusztig Varieties
Zhiming Li
Let be a non-Archimedean local field, let , and let . Let be a standard Levi subgroup and let be basic in , but not nec…
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…
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…
On the sensitivities dependence in non-autonomous dynamical systems
Chengyu Yang, Zhiming Li
For discrete autonomous dynamical systems (ADS) , it was found that in the three conditions defining Devaney chaos, topological transitivity and dense periodic points to…
Co-compact entropy and its variational principle for non-compact spaces
Zheng Wei, Yangeng Wang, Guo Wei +2
The purpose of this paper is to generalize the variational principle, which states that the topological entropy is equal to the supremum of the measure theoretical entropies and al…