Poisson suspensions and infinite ergodic theory

By E. Roy. Ergodic Theory and Dynamical Systems, 2008

58 citations recorded by the source corpus.

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.

Subfields: Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/9c3cf08ecbc717b9da81837065a5ba294f3f56a5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. Mariusz Lemanczyk
2. A. DEL JUNCO
3. Joseph M. Rosenblatt
4. Vitaly Bergelson
5. Terence Tao
6. Nikos Frantzikinakis
7. Ben Joseph Green
8. Tim Austin

In Statistics and Probability

1. Vitaly Bergelson

Citations in the corpus

• Rigidity and non-recurrence along sequences (2011, background): “1 and also [10, 11, 48], for details concerning ergodic properties of Poisson suspensions.”