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

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

2006-01-27

arxiv.org/abs/math/0601673v1

Electronic Journal of Probability 11:7 (2006), 162-198.

Mathematics

Probability

40 pages. Supersedes math.PR/0508414 and math.PR/0511011

Scientific paper

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.

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