First-passage percolation in random planar maps and Tutte's bijection

DOI10.1214/21-EJP662zbMath1491.60020arXiv1906.10079OpenAlexW4214905469MaRDI QIDQ2119692

Thomas Lehéricy

Publication date: 30 March 2022

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

Full work available at URL: https://arxiv.org/abs/1906.10079

zbMATH Keywords

probabilityfirst passage percolationrandom maps

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80)

Related Items (3)

Random cubic planar graphs converge to the Brownian sphere ⋮ Unnamed Item ⋮ Recurrence of the uniform infinite half-plane map via duality of resistances

Cites Work

• Rescaled bipartite planar maps converge to the Brownian map
• Uniqueness and universality of the Brownian map
• The Brownian map is the scaling limit of uniform random plane quadrangulations
• The Brownian plane
• Geodesics in large planar maps and in the Brownian map
• The scaling limit of uniform random plane maps, via the Ambjørn-Budd bijection
• Percolation on uniform infinite planar maps
• An improved subadditive ergodic theorem
• The scaling limit of random simple triangulations and random simple quadrangulations
• Brownian disks and the Brownian snake
• The distribution of the maximum vertex degree in random planar maps
• Geometric and spectral properties of causal maps
• Separating cycles and isoperimetric inequalities in the uniform infinite planar quadrangulation
• Convergence of discrete snakes
• A view from infinity of the uniform infinite planar quadrangulation
• First-passage percolation and local modifications of distances in random triangulations
• Scaling limits of random trees and planar maps

This page was built for publication: First-passage percolation in random planar maps and Tutte's bijection