Geodesics in Brownian surfaces (Brownian maps)

DOI10.1214/14-AIHP666zbMath1342.60043arXiv1401.3602MaRDI QIDQ297441

Jérémie L. Bettinelli

Publication date: 27 June 2016

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3602

zbMATH Keywords

geodesicsBrownian surfacesscaling limitsGromov-Hausdorff topologybijectionsBrownian maprandom mapsrandom metric spaces

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Distance in graphs (05C12) Functional limit theorems; invariance principles (60F17)

Related Items (13)

A bijection for nonorientable general maps ⋮ Planarity and non-separating cycles in uniform high genus quadrangulations ⋮ Local limits of bipartite maps with prescribed face degrees in high genus ⋮ Large expanders in high genus unicellular maps ⋮ Short cycles in high genus unicellular maps ⋮ Unicellular maps vs. hyperbolic surfaces in large genus: simple closed curves ⋮ Classification of scaling limits of uniform quadrangulations with a boundary ⋮ Bijective enumeration of planar bipartite maps with three tight boundaries, or how to slice pairs of pants ⋮ What is a random surface? ⋮ A bijection for nonorientable general maps ⋮ Local limits of uniform triangulations in high genus ⋮ Compact Brownian surfaces. I: Brownian disks ⋮ The skeleton of the UIPT, seen from infinity

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