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math.DS2015★ 1 cited
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…
math.DS2015
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…