6 citations · 23 across the 14 of their papers we have counts for
10 papers · 1 filter
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…
Prime orbit theorems for expanding Thurston maps
Zhiqiang Li, Tianyi Zheng
We obtain an analogue of the prime number theorem for a class of branched covering maps on the -sphere called expanding Thurston maps , which are topological models of some r…
Weak expansion properties and large deviation principles for expanding Thurston maps
Zhiqiang Li
In this paper, we prove that an expanding Thurston map is asymptotically -expansive if and only if it has no periodic critical points, and that no…
Equilibrium States for Expanding Thurston Maps
Zhiqiang Li
In this paper, we use the thermodynamical formalism to show that there exists a unique equilibrium state for each expanding Thurston map together with…
Periodic Points and the Measure of Maximal Entropy of an Expanding Thurston Map
Zhiqiang Li
In this paper, we show that each expanding Thurston map has fixed points, counted with appropriate weight, where denotes the topologica…