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September 2019 Finitary isomorphisms of Poisson point processes
Terry Soo, Amanda Wilkens
Ann. Probab. 47(5): 3055-3081 (September 2019). DOI: 10.1214/18-AOP1332

Abstract

As part of a general theory for the isomorphism problem for actions of amenable groups, Ornstein and Weiss (J. Anal. Math. 48 (1987) 1–141) 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.

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Terry Soo. Amanda Wilkens. "Finitary isomorphisms of Poisson point processes." Ann. Probab. 47 (5) 3055 - 3081, September 2019. https://doi.org/10.1214/18-AOP1332

Information

Received: 1 May 2018; Revised: 1 December 2018; Published: September 2019
First available in Project Euclid: 22 October 2019

zbMATH: 07145310
MathSciNet: MR4021244
Digital Object Identifier: 10.1214/18-AOP1332

Subjects:
Primary: 37A35, 60G10, 60G55

Rights: Copyright © 2019 Institute of Mathematical Statistics

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Vol.47 • No. 5 • September 2019
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