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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

16 Citas (Scopus)

Resumen

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.

Idioma original	Español
Páginas (desde-hasta)	1150-1175
Número de páginas	26
Publicación	Bernoulli
Volumen	19
Estado	Publicada - 1 set. 2013

Metastabilidad para procesos de Markov. Límite de escala para grafos aleatorios sobre la esfera.
Beltran Ramirez, J. V. (Investigador principal)
1/01/12 → 1/11/12
Proyecto: Investigación

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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.",

author = "J. Beltr{\'a}n and {Le Gall}, {Jean Fran{\c c}ois}",

year = "2013",

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language = "Espa{\~n}ol",

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T1 - Quadrangulations with no pendant vertices

AU - Beltrán, J.

AU - Le Gall, Jean François

PY - 2013/9/1

Y1 - 2013/9/1

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

VL - 19

SP - 1150

EP - 1175

JO - Bernoulli

JF - Bernoulli

ER -

Quadrangulations with no pendant vertices

Resumen

Proyectos

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

Citar esto