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Poisson suspensions and infinite ergodic theory

Published online by Cambridge University Press:  01 April 2009

EMMANUEL ROY
EMMANUEL ROY*
Affiliation:
Laboratoire Analyse Géométrie et Applications, UMR 7539, Université Paris 13, 99 avenue J.B. Clément, F-93430 Villetaneuse, France (email: roy@math.univ-paris13.fr)
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Abstract

We investigate the ergodic theory of Poisson suspensions. In the process, we establish close connections between finite and infinite measure-preserving ergodic theory. Poisson suspensions thus provide a new approach to infinite-measure ergodic theory. Fields investigated here are mixing properties, spectral theory, joinings. We also compare Poisson suspensions to the apparently similar looking Gaussian dynamical systems.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 29 , Issue 2 , April 2009 , pp. 667 - 683
Copyright
Copyright © Cambridge University Press 2008

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