3 papers
math.DS2026
Local Product Structure of Expansive Flows with Shadowing Property
Xiao Wen
We show that there exists a suspension flow defined over the full shift map which does not have local product structure. This gives a negative answer to an open problem posed by Ge…
math.DS2025
Topological and Metric Pressure for Singular Flows
Meijie Zhao, Xiao Wen
In this paper, we introduce the notions of rescaled metric pressure and rescaled topological pressure for flows by considering three types of rescaled Bowen balls, which take the f…
math.DS2023
Sufficient conditions for rescaling expansivity
A. Rojas, X. Wen, Y. Yang
We demonstrate that any k*-expansive vector field on a closed manifold exhibits rescaling expansiveness. This enhances the principal outcome outlined in \cite{a}. The verification…