The local limit of unicellular maps in high genus
Dublin Core | PKP Metadata Items | Metadata for this Document | |
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 | |
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.) | |
15. | Rights | Copyright and permissions | The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free
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