Topological Pressure for sub-additive potentials of amenable group actions

2011/04/12 by Bingbing Liang, Liang, Bingbing, Kesong Yan +1 · 3 citations
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1104.2195

openalex publication_date 2011/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define the topological pressure for any sub-additive potentials of the countable discrete amenable group action and any given open cover. A local variational principle for the topological pressure is established.

Cited by

• Metric mean dimension and the variational principle for actions of amenable groups
• Local intricacy and average sample complexity for amenable group actions
• A variational principle for nonlinear local pressure

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