Brownian local minima, random dense countable sets and random equivalence classes
"Brownian local minima, random dense countable sets and random equivalence classes".
Electronic Journal of Probability 11:7, 162-198 (2006).
Available online (free of charge) on the journal site:
See also arXiv.org/abs/math.PR/0601673/
A research paper, 37 pages, bibl. 15 refs.
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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