31 citations · 95 across the 35 of their papers we have counts for
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math.DS2012
The variational principle of topological pressure for actions of sofic groupoids
Xiaoyao Zhou, Ercai Chen
This article establishes the variational principle of topological pressure for actions of sofic groupoids.
math.DS2012★ 31 cited
Multifractal analysis for historic set in topological dynamical systems
Xiaoyao Zhou, Ercai Chen
In this article, the historic set is divided into different level sets and we use topological pressure to describe the size of these level sets. We give an application of these res…
math.DS2012★ 1 cited
Packing dimensions of the divergence points of self-similar measures with the open set condition
Xiaoyao Zhou, Ercai Chen
Let be the self-similar measure supported on the self-similar set with open set condition. In this article, we discuss the packing dimension of the set $\{x\in K: A(\frac{\…
math.DS2012★ 1 cited
The variational principle of local pressure for actions of sofic group
Xiaoyao Zhou, Ercai Chen
This study establishes the variational principle for local pressure in the sofic context.