Markov odometer

id: markov-odometer-244-17783303
title: Markov odometer
text: In mathematics, a Markov odometer is a certain type of topological dynamical system. It plays a fundamental role in ergodic theory and especially in orbit theory of dynamical systems, since a theorem of H. Dye asserts that every ergodic nonsingular transformation is orbit-equivalent to a Markov odometer. The basic example of such system is the "nonsingular odometer", which is an additive topological group defined on the product space of discrete spaces, induced by addition defined as x ↦ x + 1 _
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Markov_odometer
date created:
date modified: 2024-02-13T18:06:38Z
main entity: {"identifier":"Q55622236","url":"https://www.wikidata.org/entity/Q55622236"}
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fields total: 13
integrity: 13

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