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Special points of the Brownian net


 
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1. Title Title of document Special points of the Brownian net
 
2. Creator Author's name, affiliation, country Emmanuel Schertzer; Columbia University
 
2. Creator Author's name, affiliation, country Rongfeng Sun; National University of Singapore
 
2. Creator Author's name, affiliation, country Jan M. Swart; Institute of Information Theory and Automation of the ASCR (UTIA)
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Brownian net; Brownian web; branching-coalescing point set.
 
3. Subject Subject classification Primary: 82C21 ; Secondary: 60K35, 60D05.
 
4. Description Abstract The Brownian net, which has recently been introduced by Sun and Swart [16], and independently by Newman, Ravishankar and Schertzer [13], generalizes the Brownian web by allowing branching. In this paper, we study the structure of the Brownian net in more detail. In particular, we give an almost sure classification of each point in $\mathbb{R}^2$ according to the configuration of the Brownian net paths entering and leaving the point. Along the way, we establish various other structural properties of the Brownian net.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) R.~Sun is supported by a postdoc position in the DFG Forschergruppe 718 ``Analysis and Stochastics in Complex Physical Systems''. J.M.~Swart is sponsored by GAv CR grant 201/07/0237. E.~Schertzer and J.M.~Swart thank the Berlin-Leipzig Forschergrupp
 
7. Date (YYYY-MM-DD) 2009-04-19
 
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/641
 
10. Identifier Digital Object Identifier 10.1214/EJP.v14-641
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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