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arxiv: 0801.2667 · v2 · submitted 2008-01-17 · 🧮 math.DS

Poisson suspensions and infinite ergodic theory

classification 🧮 math.DS
keywords theoryergodicpoissonsuspensionsinfinitemeasurepreservingapparently
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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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