Entropy on normed semigroups (towards a unifying approach to entropy)

DOI10.4064/dm791-2-2019zbMath1429.16002arXiv1808.03858OpenAlexW2973187124WikidataQ127295107 ScholiaQ127295107MaRDI QIDQ5237151

Dikran Dikranjan, Anna Giordano Bruno

Publication date: 16 October 2019

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03858

zbMATH Keywords

entropysemigroupdualitytopological entropysemilatticealgebraic entropymeasure entropybridge theoremsemigroup entropynormed semigroupframe entropyset-theoretic entropy

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Geometric group theory (20F65) Ergodic theory on groups (22D40) General properties and structure of locally compact groups (22D05) Duality theorems for locally compact groups (22D35) Mappings of semigroups (20M15) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items

Algebraic entropy for amenable semigroup actions ⋮ Weakly weighted generalised quasi-metric spaces and semilattices ⋮ Epimorphisms and closure operators of categories of semilattices ⋮ Ore localization of amenable monoid actions and applications toward entropy -- addition formulas and the bridge theorem ⋮ On entropy on quasi-metric spaces ⋮ Unnamed Item ⋮ Topological and metric entropy for group and semigroup actions ⋮ On a notion of entropy in coarse geometry ⋮ Algebraic entropy of endomorphisms of \(M\)-sets ⋮ Metric versus topological receptive entropy of semigroup actions ⋮ Generalized quasi-metric semilattices ⋮ Intrinsic entropy for generalized quasimetric semilattices

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