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


 
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1. Title Title of document Brownian local minima, random dense countable sets and random equivalence classes
 
2. Creator Author's name, affiliation, country Boris Tsirelson; Tel Aviv University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Brownian motion; local minimum; point process; equivalence relation
 
3. Subject Subject classification Primary 60J65; Secondary 60B99; 60D05; 60G55
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) The israel science foundation
 
7. Date (YYYY-MM-DD) 2006-03-12
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/309
 
10. Identifier Digital Object Identifier 10.1214/EJP.v11-309
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 11
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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