On the measure-theoretic pressure associated with Feldman-Katok metric and max-mean metric
Zhongxuan Yang, Xiaojun Huang, Jiajun Zhang
TL;DR
This paper introduces modified Feldman-Katok and max-mean metrics to analyze measure-theoretic and topological pressure, providing new tools for dynamical systems analysis.
Contribution
It proposes new modified metrics and applies them to measure-theoretic and topological pressure, advancing the understanding of these concepts in dynamical systems.
Findings
New modified metrics introduced
Application to measure-theoretic pressure
Application to topological pressure
Abstract
In this manuscript, we present modified Feldman-katok metric and modified max-mean metric, then apply them to examine the measure-theoretic pressure and topological pressure.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Geometry and complex manifolds