Brownian local minima, random dense countable sets and random equivalence classes

Boris Tsirelson

doi:10.1214/EJP.v11-309

Brownian local minima, random dense countable sets and random equivalence classes

Boris Tsirelson^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English
Pages (from-to)	162-198
Number of pages	37
Journal	Electronic Journal of Probability
Volume	11
DOIs	https://doi.org/10.1214/EJP.v11-309
State	Published - 1 Jan 2006

Keywords

Brownian motion
Equivalence relation
Local minimum
Point process

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10.1214/EJP.v11-309

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KW - Local minimum

KW - Point process

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Brownian local minima, random dense countable sets and random equivalence classes

Abstract

Keywords

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