3 citations · 4 across the 5 of their papers we have counts for
6 papers
Ergodic measures of intermediate entropies for amenable group actions with an approximate product property
Wenda Zhang, Xiankun Ren
We study entropy realization for continuous actions of infinite countable amenable groups. We introduce an approximate product property for amenable group actions that permits a sm…
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…
Upper capacity entropy and packing entropy of saturated sets for amenable group actions
Xiankun Ren, Wenda Zhang, Yiwei Zhang
Let be a -action topological system, where is a countable infinite discrete amenable group and a compact metric space. In this paper we study the upper capacity…
On the topological entropy of saturated sets for amenable group actions
Xiankun Ren, Xueting Tian, Yunhua zhou
Let be a action topological system, where is a countable infinite discrete amenable group and a compact metric space. We prove a variational principle for top…
Periodic measures are dense in invariant measures for residually finite amenable group actions with specification
Xiankun Ren
We prove that for certain actions of a discrete countable residually finite amenable group acting on a compact metric space with specification property, periodic measures are dense…
Topological Pressure and the Variational Principle of Noncompact Sets for Amenable Group Actions
Xiankun Ren
The notion of topological pressure was introduced by Ruell and also he formulated a variational principle for the topological pressure. Pesin and Pitskel introduced a definition of…