Quadrangulations with no pendant vertices
Probability
2013-09-27 v2
Abstract
We prove that the metric space associated with a uniformly distributed planar quadrangulation with n faces and no pendant vertices converges modulo a suitable rescaling to the Brownian map. This is a first step towards the extension of recent convergence results for random planar maps to the case of graphs satisfying local constraints.
Keywords
Cite
@article{arxiv.1307.7524,
title = {Quadrangulations with no pendant vertices},
author = {Johel Beltran and Jean-François Le Gall},
journal= {arXiv preprint arXiv:1307.7524},
year = {2013}
}
Comments
Published in at http://dx.doi.org/10.3150/12-BEJSP13 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)