Quenched local convergence of Boltzmann planar maps

Benedikt Stufler

Quenched local convergence of Boltzmann planar maps

Probability 2021-02-24 v1 Combinatorics

Authors: Benedikt Stufler

Abstract

Stephenson~(2018) established annealed local convergence of Boltzmann planar maps conditioned to be large. The present work uses results on rerooted multi-type branching trees to prove a quenched version of this limit.

Keywords

quenched local convergence boltzmann planar maps annealed local convergence multi-type branching trees random maps

Cite

@article{arxiv.2102.11632,
  title  = {Quenched local convergence of Boltzmann planar maps},
  author = {Benedikt Stufler},
  journal= {arXiv preprint arXiv:2102.11632},
  year   = {2021}
}

Comments

The results of this work were initially part of [21]. The paper got split during the refereeing process following a referee's recommendation. arXiv admin note: substantial text overlap with arXiv:1908.04843

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