Poisson suspensions and infinite ergodic theory

Details Poisson suspensions and infinite ergodic theory Poisson suspensions and infinite ergodic theory

2008-01-17

arxiv.org/abs/0801.2667v2

Mathematics

Dynamical Systems

18 pages

Scientific paper

We investigate 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 preserving ergodic theory. Fields investigated here are mixing properties, spectral theory, joinings. We also compare Poisson suspensions to the apparently similar looking Gaussian dynamical systems.

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