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The local limit of unicellular maps in high genus


 
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1. Title Title of document The local limit of unicellular maps in high genus
 
2. Creator Author's name, affiliation, country Omer Angel; University of British Columbia; Canada
 
2. Creator Author's name, affiliation, country Guillaume Chapuy; CNRS & Université Paris-Diderot; France
 
2. Creator Author's name, affiliation, country Nicolas Curien; CNRS & Université Pierre et Marie Curie; France
 
2. Creator Author's name, affiliation, country Gourab Ray; University of British Columbia; Canada
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Local limits, Unicellular maps, Lehmann-Walsh formula
 
3. Subject Subject classification 60B05;60B10;97K50
 
4. Description Abstract We show that the local limit of unicellular maps whose genus is proportional to the number of edges is a supercritical geometric Galton-Watson tree conditioned to survive. The proof relies on enumeration results obtained via the recent bijection given by the second author together with Feray and Fusy.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2013-11-07
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/3037
 
10. Identifier Digital Object Identifier 10.1214/ECP.v18-3037
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 18
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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