Finitary isomorphisms of Poisson point processes
Probability
2019-11-01 v3
Abstract
As part of a general theory for the isomorphism problem for actions of amenable groups, Ornstein and Weiss (J. Anal. Math. 48:1-141,1987) proved that any two Poisson point processes are isomorphic as measure-preserving actions. We give an elementary construction of an isomorphism between Poisson point processes that is finitary.
Keywords
Cite
@article{arxiv.1805.04600,
title = {Finitary isomorphisms of Poisson point processes},
author = {Terry Soo and Amanda Wilkens},
journal= {arXiv preprint arXiv:1805.04600},
year = {2019}
}
Comments
Published version at https://doi.org/10.1214/18-AOP1332 in the Annals of Probability by the Institute of Mathematical Statistics