Brownian local minima, random dense countable sets and random equivalence classes
Probability
2007-05-23 v1
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.
Cite
@article{arxiv.math/0601673,
title = {Brownian local minima, random dense countable sets and random equivalence classes},
author = {Boris Tsirelson},
journal= {arXiv preprint arXiv:math/0601673},
year = {2007}
}
Comments
40 pages. Supersedes math.PR/0508414 and math.PR/0511011