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Rates of Recurrence for Free Semigroup Actions

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1 Published in 2020 at "Journal of Dynamical and Control Systems"

DOI: 10.1007/s10883-020-09486-2

Abstract: We consider finitely generated free semigroup actions on (X, d) and generalize Boshernitzan’s quantitative recurrence theorem to general free semigroup actions. Let G be a finitely generated free semigroup endowed with a Bernoulli probability measure… read more here.

Keywords: free semigroup; semigroup; recurrence free; rates recurrence ... See more keywords

Polynomial Entropy of Subsets for Free Semigroup Actions

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1 Published in 2021 at "Journal of Dynamical and Control Systems"

DOI: 10.1007/s10883-021-09572-z

Abstract: In this paper, we introduce the notions of polynomial entropy on an arbitrary subset and lower local polynomial entropy for free semigroup actions. Also, we give some properties of Bowen polynomial entropy and discuss the… read more here.

Keywords: free semigroup; entropy; semigroup actions; bowen polynomial ... See more keywords

Entropy Points and Applications for Free Semigroup Actions

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1 Published in 2021 at "Journal of Statistical Physics"

DOI: 10.1007/s10955-021-02858-3

Abstract: The aim of this manuscript is to study some local properties of the topological entropy of a free semigroup action. In order to do that we focus on the set of entropy points of a… read more here.

Keywords: free semigroup; semigroup actions; points applications; applications free ... See more keywords

Some dynamical properties for free semigroup actions

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0 Published in 2017 at "Stochastics and Dynamics"

DOI: 10.1142/s0219493718500326

Abstract: In this paper, we introduce the notions of weakly mixing and totally transitivity for a free semigroup action. Let G be a free semigroup acting on a compact metric space generated by continuous open self-maps.… read more here.

Keywords: free semigroup; dynamical properties; semigroup; semigroup actions ... See more keywords

Topological Entropy of Free Semigroup Actions Generated by Proper Maps for Noncompact Subsets

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0 Published in 2021 at "Taiwanese Journal of Mathematics"

DOI: 10.11650/tjm/210903

Abstract: In this paper, we introduce three notions of topological entropy of a free semigroup action generated by proper maps for noncompact subsets, which extends the notions defined by Ju et al. [13] and Ma et… read more here.

Keywords: free semigroup; proper maps; topological entropy; generated proper ... See more keywords