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Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2015

Prime Poisson suspensions

Résumé

We establish a necessary and sufficient condition for a Poisson suspension to be prime. The proof is based on the Fock space structure of the $L^{2}$-space of the Poisson suspension. We give examples of explicit infinite measure preserving systems, in particular non-singular compact group rotations that give rise to prime Poisson suspensions. We also compare some properties of so far known prime transformations with those of our examples, showing that these examples are new.
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Dates et versions

hal-00699169 , version 1 (19-05-2012)
hal-00699169 , version 2 (12-02-2014)

Identifiants

Citer

François Parreau, Emmanuel Roy. Prime Poisson suspensions. Ergodic Theory and Dynamical Systems, 2015, 35 (7), pp.2216-2230. ⟨10.1017/etds.2014.32⟩. ⟨hal-00699169v2⟩
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