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

   
@article{EJP478,
	author = {Grégory Miermont and Mathilde Weill},
	title = {Radius and profile of random planar maps with faces of arbitrary degrees},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {13},
	year = {2008},
	keywords = {Random planar map; invariance principle; multitype spatial Galton-Watson tree; Brownian snake},
	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.},
	pages = {no. 4, 79-106},
	issn = {1083-6489},
	doi = {10.1214/EJP.v13-478},    
        url = {http://ejp.ejpecp.org/article/view/478}}