Soo, T;
Wilkens, A;
(2019)
Finitary isomorphisms of Poisson point processes.
The Annals of Probability
, 47
(5)
pp. 3055-3081.
10.1214/18-aop1332.
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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 measurepreserving actions. We give an elementary construction of an isomorphism between Poisson point processes that is finitary.
| Type: | Article |
|---|---|
| Title: | Finitary isomorphisms of Poisson point processes |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1214/18-aop1332 |
| Publisher version: | https://doi.org/10.1214/18-aop1332 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Poisson point process, finitary isomorphisms |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10089071 |
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