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The local limit of unicellular maps in high genus

   
@article{ECP3037,
	author = {Omer Angel and Guillaume Chapuy and Nicolas Curien and Gourab Ray},
	title = {The local limit of unicellular maps in high genus},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {Local limits, Unicellular maps, Lehmann-Walsh formula},
	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.},
	pages = {no. 86, 1-8},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-3037},    
        url = {http://ecp.ejpecp.org/article/view/3037}}