6 citations · 24 across the 17 of their papers we have counts for
17 papers
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…
Precise asymptotics on the Birkhoff sums for dynamical systems
Lulu Fang, Hiroki Takahasi, Yiwei Zhang
We establish two precise asymptotic results on the Birkhoff sums for dynamical systems. These results are parallel to that on the arithmetic sums of independent and identically dis…
Topological structures on saturated sets, optimal orbits and equilibrium states
Xiaobo Hou, Xueting Tian, Yiwei Zhang
Pfister and Sullivan proved that if a topological dynamical system satisfies almost product property and uniform separation property, then for each nonempty compact %convex…
On Coupling Lemma and Stochastic Properties with Unbounded Observables for 1-d Expanding Maps
Jianyu Chen, Hongkun Zhang, Yiwei Zhang
In this paper, we establish a coupling lemma for standard families in the setting of piecewise expanding interval maps with countably many branches. Our method merely requires that…
Ergodic optimization theory for Axiom A flows
Wen Huang, Zeng Lian, Xiao Ma +2
In this article, we consider the weighted ergodic optimization problem Axiom A attractors of a flow on a compact smooth manifold. The main result obtained in this paper is th…