On K-flows and irreversibility
type: Item
instance of: scholarly article
title: On K-flows and irreversibility
zbMATH Open document ID: 0647.58042
DOI: 10.1007/BF01010584
published in: Journal of Statistical Physics
publication date: 1986-01-01T00:00:00Z
review text: In [Long time prediction in dynamics, Lakeway, Tex. 1981, 21-43 (1983)] \textit{B. Misra} and \textit{I. Prigogine} proved that a deterministic measure preserving reversible dynamical system \(T_ t\), represented by the unitary group \(U_ t\) in state space, is a K flow if \(U_ t\) is intertwined after projection by a strongly irreversible Markov semigroup. In the paper under review the necessity of the same conditions is proved. This shows that a deterministic system which admits such an irreversible intertwining will be highly unstable.
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 82B05
zbMATH DE Number: 4056643
zbMATH Keywords: K flow
zbMATH Keywords: intertwining
zbMATH Keywords: coarse graining
author: Robert K. Goodrich
author: Karl Gustafson
author: Baidyanath Misra
reviewed by: C. Chicone
MaRDI profile type: Publication
cites work: On intrinsic randomness of dynamical systems
cites work: Q3951086
full work available at URL: https://doi.org/10.1007/bf01010584
OpenAlex ID: W2016478218
description: scientific article; zbMATH DE number 4056643