q-Pressure for Dynamical Systems

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Title:	q-Pressure for Dynamical Systems Zhao, Yun
Authors:	Luo, Chiyi Cheng, Wen-Chiao
Contributors:	Department of Applied Mathematics
Keywords:	Metric pressure Topological entropy Topological pressure
Date:	2023-09
Issue Date:	2024-03-12 14:08:00 (UTC+8)
Publisher:	Springer
Abstract:	Using a (weak) Gibbs measure as the reference measure, this paper introduces the concept of q-topological and q-metric pressure following the approach of Carathéodory construction. Some basic properties of q-pressure are given, including the dependence of q-pressure on the parameter q and a formula for the calculation of q-topological pressure. In particular, a relationship between the q-metric pressure and the local metric pressure is established. Finally, the correlation entropy is defined with respect to any invariant measure, and a relationship is obtained between the correlation entropy and the local metric entropy.
Relation:	Qualitative Theory of Dynamical Systems
Appears in Collections:	[Department of Applied Mathematics] journal articles

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