An Alternative Definition of Topological Entropy for Amenable Group Actions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-021-09547-0
Abstract: We extend the definition of topological entropy for any (not necessarily continuous) amenable groups acting on a compact space by defining entropy of arbitrary subsets of a product space. We investigate how this new notion… read more here.
Keywords: topological entropy; definition topological; entropy; entropy amenable ... See more keywords
Topological r-Entropy and Measure Theoretic r-Entropy for Amenable Group Actions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-021-09554-1
Abstract: In this paper, we introduce the concept of measure theoretic r-entropy on a compact metric space in the context of amenable group actions. To be precise, we generalize Katok’s r-entropy formula and Brin-Katok r-entropy formula… read more here.
Keywords: amenable group; group actions; measure theoretic; theoretic entropy ... See more keywords
Entropies for factor maps of amenable group actions
Sign Up to like & getrecommendations! Published in 2023 at "Nonlinearity"
DOI: 10.1088/1361-6544/acc71c
Abstract: In this paper we study various entropies for factor maps of amenable group actions. We prove firstly theorem inequalities linking relative topological entropy and conditional topological entropy (for factor maps of amenable group actions) without… read more here.
Keywords: amenable group; maps amenable; group actions; entropy ... See more keywords