Kolmogorov-Sinai entropy for \(p\)-preserving systems
type: Item
instance of: scholarly article
title: Kolmogorov-Sinai entropy for \(p\)-preserving systems
zbMATH Open document ID: 1406.06006
author: Mona Khare
author: Anurag Shukla
published in: Advances in Pure and Applied Mathematics
publication date: 2018-01-11T00:00:00Z
review text: The paper develops a theory of entropy in the realm of a \(gs\)-space \((L,p)\) involving the notion of a generalized \(s\)-map. By a generalized \(s\)-map on a lattice \(L\), the authors mean a monotonic mapping \(p:L\times L\to[0,1]\) satisfying \(p(1,1)=1\). The authors study the dynamics of a \(p\)-preserving system \((L,p,\phi)\). They say that the entropy of \(p\)-preserving systems is isomorphism invariant and the entropy of an invertible \(p\)-preserving system vanishes provided the corresponding Rokhlin space admits a one-sided generator.
reviewed by: Giuseppina Barbieri
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 28D20
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 03G10
Mathematics Subject Classification ID: 37A35
zbMATH DE Number: 6824705
zbMATH Keywords: entropy
zbMATH Keywords: \(gs\)-map
zbMATH Keywords: \(p\)-preserving system
MaRDI profile type: Publication
full work available at URL: apam-2016-0042
OpenAlex ID: W2804477081
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DOI: 10.1515/APAM-2016-0042
description: scientific article; zbMATH DE number 6824705