2 citations · 2 across the 3 of their papers we have counts for
9 papers
Prime orbit theorems for expanding Thurston maps: Genericity of strong non-integrability condition
Zhiqiang Li, Tianyi Zheng
In the second paper [LZ24b] of this series, we obtained an analog of the prime number theorem for a class of branched covering maps on the -sphere called expanding Thursto…
On the prevalence of the periodicity of maximizing measures
Jian Ding, Zhiqiang Li, Yiwei Zhang
For a continuous map on a compact metric space , we say that a function has the property if its time averag…
Ground states and periodic orbits for expanding Thurston maps
Zhiqiang Li, Yiwei Zhang
Expanding Thurston maps form a class of branched covering maps on the topological -sphere , which are topological models of some non-uniformly expanding rational maps wit…
Sub-additive unstable topological pressure on saturated subsets
Wenda Zhang, Zhiqiang Li, Xiankun Ren
In this paper, we continue our investigation on sub-additive pressures for -smooth partially hyperbolic diffeomorphisms. Under the assumption of unstable almost product proper…
Unstable Topological Pressure for Partially Hyperbolic Diffeomorphisms with Sub-additive Potentials
Wenda Zhang, Zhiqiang Li, Yunhua Zhou
In this paper, we introduce the unstable topological pressure for C^1-smooth partially hyperbolic diffeomorphisms with sub-additive potentials. Moreover, without any additional ass…
Unstable Metric Pressure of Partially Hyperbolic Diffeomorphisms with sub-additive Potentials
Wenda Zhang, Zhiqiang Li, Yunhua Zhou
In this paper, we define and study unstable measure theoretic pressure for C^1-smooth partially hyperbolic diffeomorphisms with sub-additive potentials. For any ergodic measure, we…