2006/01/27 by Boris Tsirelson · 1 citation
Mathematics · #math.PR
published as Electronic Journal of Probability 11:7 (2006), 162-198. · 40 pages. Supersedes math.PR/0508414 and math.PR/0511011
arxiv created 2006/01/27 · arxiv updated 2009/12/01
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.