Time change and orbit equivalence in ergodic theory
type: Item
instance of: scholarly article
title: Time change and orbit equivalence in ergodic theory
zbMATH Open document ID: 0665.28011
author: Munetaka Nakamura
published in: Hiroshima Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: The main purpose of this paper is to show that two measure preserving continuous-time flows on Lebesgue probability spaces are orbit equivalent if and only if they can be transformed into isomorphic flows by means of a time change by an integrable additive cocycle. To this end classical results from \textit{H. Totoki} [Mem. Fac. Sci., Kyushu Univ., Ser. A 20, 27-55 (1966; Zbl 0185.391)] are recalled and presented together with some new proofs and new results.
Mathematics Subject Classification ID: 28D10
zbMATH DE Number: 4087959
zbMATH Keywords: Orbit equivalence
zbMATH Keywords: measure preserving continuous-time flows
zbMATH Keywords: isomorphic flows
zbMATH Keywords: time change
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206129731
OpenAlex ID: W1528979934
Wikidata QID: Q128898930
DOI: 10.32917/HMJ/1206129731
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description: scientific article; zbMATH DE number 4087959