Quadrangulations with no pendant vertices

J. Beltrán; Jean François Le Gall

Quadrangulations with no pendant vertices

J. Beltrán, Jean François Le Gall

Sección de Matemáticas

Université Paris-Sud

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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. Â© 2013 ISI/BS.

Original language	Spanish
Pages (from-to)	1150-1175
Number of pages	26
Journal	Bernoulli
Volume	19
State	Published - 1 Sep 2013

Metastabilidad para procesos de Markov. Límite de escala para grafos aleatorios sobre la esfera.
Beltran Ramirez, J. V. (PI)
1/01/12 → 1/11/12
Project: Research

Cite this

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title = "Quadrangulations with no pendant vertices",

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. {\^A}{\textcopyright} 2013 ISI/BS.",

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AU - Le Gall, Jean François

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N2 - 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. Â© 2013 ISI/BS.

AB - 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. Â© 2013 ISI/BS.

M3 - Artículo

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JF - Bernoulli

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Quadrangulations with no pendant vertices

Abstract

Projects

Metastabilidad para procesos de Markov. Límite de escala para grafos aleatorios sobre la esfera.

Cite this