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2013 The local limit of unicellular maps in high genus
Omer Angel, Guillaume Chapuy, Nicolas Curien, Gourab Ray
Author Affiliations +
Electron. Commun. Probab. 18: 1-8 (2013). DOI: 10.1214/ECP.v18-3037

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.

Citation

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Omer Angel. Guillaume Chapuy. Nicolas Curien. Gourab Ray. "The local limit of unicellular maps in high genus." Electron. Commun. Probab. 18 1 - 8, 2013. https://doi.org/10.1214/ECP.v18-3037

Information

Accepted: 7 November 2013; Published: 2013
First available in Project Euclid: 7 June 2016

zbMATH: 1310.60002
MathSciNet: MR3141795
Digital Object Identifier: 10.1214/ECP.v18-3037

Subjects:
Primary: 60B05
Secondary: 60B10, 97K50

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