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

   
@article{EJP309,
	author = {Boris Tsirelson},
	title = {Brownian local minima, random dense countable sets and  random equivalence classes},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {11},
	year = {2006},
	keywords = {Brownian motion; local minimum; point process; equivalence relation},
	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.},
	pages = {no. 7, 162-198},
	issn = {1083-6489},
	doi = {10.1214/EJP.v11-309},    
        url = {http://ejp.ejpecp.org/article/view/309}}