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Author(s): Maria Pires de Carvalho
Fagner B. Rodrigues
Paulo Varandas
Title: Quantitative recurrence for free semigroup actions
Issue Date: 2018
Abstract: We consider finitely generated free semigroup actions on a compact metric space and obtain quantitative information on Poincare recurrence, average first return time and hitting frequency for the random orbits induced by the semigroup action. Besides, we relate the recurrence to balls with the rates of expansion of the semigroup generators and the topological entropy of the semigroup action. Finally, we establish a partial variational principle and prove an ergodic optimization for this kind of dynamical action.
Subject: Matemática
Document Type: Artigo em Revista Científica Internacional
Rights: openAccess
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

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