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2006 Brownian local minima, random dense countable sets and random equivalence classes
Boris Tsirelson
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Electron. J. Probab. 11: 162-198 (2006). DOI: 10.1214/EJP.v11-309

Abstract

A random dense countable set is characterized (in distribution) by independence and stationarity. Two examples are `Brownian local minima' and `unordered infinite sample'. They are identically distributed. A framework for such concepts, proposed here, includes a wide class of random equivalence classes.

Citation

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Boris Tsirelson. "Brownian local minima, random dense countable sets and random equivalence classes." Electron. J. Probab. 11 162 - 198, 2006. https://doi.org/10.1214/EJP.v11-309

Information

Accepted: 12 March 2006; Published: 2006
First available in Project Euclid: 31 May 2016

zbMATH: 1112.60065
MathSciNet: MR2217814
Digital Object Identifier: 10.1214/EJP.v11-309

Subjects:
Primary: 60J65
Secondary: 60B99, 60D05, 60G55

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