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math.PRDec 4, 2014
authors
  • Céline Abraham
  • Jérémie Bettinelli
  • Gwendal Collet
  • Igor Kortchemski
institutions
  • Département de mathématiques et applications
  • Institut Élie Cartan de Lorraine
  • Laboratoire d'Informatique de l'École Polytechnique
arXiv abstractPDF
paper

Random maps: proceeding of the Journ{é}es MAS 2014

arXiv:1412.1610

Abstract

This is a quick survey on some recent works done in the field of random maps.

arXiv commentarXiv admin note: text overlap with arXiv:1307.6818

References in corpus (13)

  • Random trees and applications
  • Uniqueness and universality of the Brownian map
  • The topological structure of scaling limits of large planar maps
  • Geodesic Distance in Planar Graphs
  • Local limit of labeled trees and expected volume growth in a random quadrangulation
  • Local structure of random quadrangulations
  • The scaling limit of uniform random plane maps, via the Ambjørn-Budd bijection
  • Random stable looptrees
  • Scaling limits of random planar maps with a unique large face
  • Percolation on uniform infinite planar maps
  • More on the O(n) model on random maps via nested loops: loops with bending energy
  • The scaling limit of random simple triangulations and random simple quadrangulations
  • A glimpse of the conformal structure of random planar maps
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