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Brownian Bridge Asymptotics for Random $p$-Mappings


 
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1. Title Title of document Brownian Bridge Asymptotics for Random $p$-Mappings
 
2. Creator Author's name, affiliation, country David Aldous; University of California, Berkeley
 
2. Creator Author's name, affiliation, country Gregory Miermont; Ecole Normale Superieure
 
2. Creator Author's name, affiliation, country Jim Pitman; University of California, Berkeley
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Brownian bridge, Brownian excursion, Joyal map, random mapping, random tree, weak convergence.
 
3. Subject Subject classification 60C05; 60F17; 60J65
 
4. Description Abstract The Joyal bijection between doubly-rooted trees and mappings can be lifted to a transformation on function space which takes tree-walks to mapping-walks. Applying known results on weak convergence of random tree walks to Brownian excursion, we give a conceptually simpler rederivation of the Aldous-Pitman (1994) result on convergence of uniform random mapping walks to reflecting Brownian bridge, and extend this result to random $p$-mappings.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) N.S.F. Grants DMS-0203062 and DMS-0071448.
 
7. Date (YYYY-MM-DD) 2004-02-13
 
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/186
 
10. Identifier Digital Object Identifier 10.1214/EJP.v9-186
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 9
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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