Emmanuel Roy
Published 2008-01-17, updated 2008-02-26Version 2
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.
Poisson-Orlicz norm and infinite Ergodic Theory
Several remarks on Pascal automorphism and infinite ergodic theory
A universal divergence rate for symmetric Birkhoff Sums in infinite ergodic theory
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