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Orbit coupling - MaRDI portal

Orbit coupling (Q1359052)

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scientific article; zbMATH DE number 1026239
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English
Orbit coupling
scientific article; zbMATH DE number 1026239

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    Orbit coupling (English)
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    18 November 1997
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    The paper deals with the action of a semigroup on a standard space \(E\). An orbit coupling of two probability measures on \(E\) is a measure on \(E^2\) for these marginals maximizing the probability of the event that the orbits of the two coordinates meet each other. The author establishes the existence of such orbit couplings for a large class of semigroups and discusses some applications.
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    dynamical system
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    orbit
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    coupling
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    ergodic tail sigma-field
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