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On the sphericity of scaling limits of random planar quadrangulations

   
@article{ECP1368,
	author = {Grégory Miermont},
	title = {On the sphericity of scaling limits of random planar quadrangulations},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {13},
	year = {2008},
	keywords = {Random planar maps, scaling limits, Gromov-Hausdorff convergence, spherical topology},
	abstract = {We give a new proof of a theorem by Le Gall and Paulin, showing that scaling limits of random planar quadrangulations are homeomorphic to the 2-sphere. The main geometric tool is a reinforcement of the notion of Gromov-Hausdorff convergence, called 1-regular convergence, that preserves topological properties of metric surfaces.},
	pages = {no. 24, 248-257},
	issn = {1083-589X},
	doi = {10.1214/ECP.v13-1368},    
        url = {http://ecp.ejpecp.org/article/view/1368}}