Recurrence of bipartite planar maps

DOI10.1214/EJP.v19-3102zbMath1286.05153arXiv1311.0178MaRDI QIDQ2448519

Sigurdur Örn Stefánsson, Jakob E. Björnberg

Publication date: 2 May 2014

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0178

zbMATH Keywords

random walkplanar mapssimply generated treeslocal limits

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Trees (05C05) Random graphs (graph-theoretic aspects) (05C80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Random walks on graphs (05C81)

Related Items (20)

Quenched local convergence of Boltzmann planar maps ⋮ Local limits of bipartite maps with prescribed face degrees in high genus ⋮ Infinite random planar maps related to Cauchy processes ⋮ Random enriched trees with applications to random graphs ⋮ Uniform infinite half-planar quadrangulations with skewness ⋮ Limits of random tree-like discrete structures ⋮ Multi-ended Markovian triangulations and robust convergence to the UIPT ⋮ Cut vertices in random planar maps ⋮ Local convergence of random planar graphs ⋮ Simply Generated Non-Crossing Partitions ⋮ Local convergence of large critical multi-type Galton-Watson trees and applications to random maps ⋮ On site percolation in random quadrangulations of the half-plane ⋮ How fast planar maps get swallowed by a peeling process ⋮ Pattern occurrences in random planar maps ⋮ Planar stochastic hyperbolic triangulations ⋮ Markovian explorations of random planar maps are roundish ⋮ Recurrence of the uniform infinite half-plane map via duality of resistances ⋮ Random walk on random infinite looptrees ⋮ Scaling limits of random planar maps with a unique large face ⋮ The peeling process of infinite Boltzmann planar maps

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