Poisson suspensions and infinite ergodic theory
Dynamical Systems
2008-02-26 v2
Abstract
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.
Cite
@article{arxiv.0801.2667,
title = {Poisson suspensions and infinite ergodic theory},
author = {Emmanuel Roy},
journal= {arXiv preprint arXiv:0801.2667},
year = {2008}
}
Comments
18 pages