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Finitary isomorphisms of Poisson point processes

Soo, Terry
; 
Wilkens, Amanda
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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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Date
2019-10-22
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Institute of Mathematical Statistics
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Mathematics Scholarly Works
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Soo_2019.pdf
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Keywords
Poisson point process, Finitary isomorphisms
Citation
Soo, Terry; Wilkens, Amanda. Finitary isomorphisms of Poisson point processes. Ann. Probab. 47 (2019), no. 5, 3055--3081. doi:10.1214/18-AOP1332. https://projecteuclid.org/euclid.aop/1571731444
URI
https://hdl.handle.net/1808/31433
DOI
10.1214/18-AOP1332
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