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arXiv · 1307.7524

Quadrangulations with no pendant vertices

Johel Beltran·Jean-François Le Gall
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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.

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Johel Beltran, Jean-François Le Gall. 2013-09-26. Quadrangulations with no pendant vertices. https://doi.org/10.3150/12-bejsp13

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