Tsirelson, Boris Brownian local minima, random dense countable sets and random equivalence classes. (English) Zbl 1112.60065 Electron. J. Probab. 11, Paper No. 7, 162-198 (2006). Summary: 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. Cited in 14 Documents MSC: 60J65 Brownian motion 60Gxx Stochastic processes PDFBibTeX XMLCite \textit{B. Tsirelson}, Electron. J. Probab. 11, Paper No. 7, 162--198 (2006; Zbl 1112.60065) Full Text: DOI arXiv EuDML