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Radius and profile of random planar maps with faces of arbitrary degrees


 
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1. Title Title of document Radius and profile of random planar maps with faces of arbitrary degrees
 
2. Creator Author's name, affiliation, country Grégory Miermont; CNRS & LM-Orsay, Université de Paris-Sud
 
2. Creator Author's name, affiliation, country Mathilde Weill; DMA, École Normale Supérieure
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random planar map; invariance principle; multitype spatial Galton-Watson tree; Brownian snake
 
3. Subject Subject classification 60F17; 60J80; 05J30
 
4. Description Abstract We prove some asymptotic results for the radius and the profile of large random planar maps with faces of arbitrary degrees. Using a bijection due to Bouttier, Di Francesco & Guitter between rooted planar maps and certain four-type trees with positive labels, we derive our results from a conditional limit theorem for four-type spatial Galton-Watson trees.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2008-01-20
 
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/478
 
10. Identifier Digital Object Identifier 10.1214/EJP.v13-478
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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