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math.DS2020★ 1 cited
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…
math.DS2020
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…
math.DS2020
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…