Statistics of geodesics in large quadrangulations

DOI10.1088/1751-8113/41/14/145001zbMath1183.82030arXiv0712.2160OpenAlexW2043881199MaRDI QIDQ5460417

Jérémie Bouttier, Emmanuel Guitter

Publication date: 28 April 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2160

zbMATH Keywords

quadrangulationsgenerating functions for quadrangulations with marked confluent geodesicsmarked geodesicstatistics of geodesics between given vertices at certain distancesystems of confluent geodesicswell-labeled trees with spine

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Numerical computation using splines (65D07) Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Asymptotic enumeration (05A16) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (11)

Compact Brownian surfaces ⋮ Uniqueness and universality of the Brownian map ⋮ The Brownian map is the scaling limit of uniform random plane quadrangulations ⋮ Geodesics in large planar maps and in the Brownian map ⋮ Liouville quantum gravity and KPZ ⋮ Confluence of geodesic paths and separating loops in large planar quadrangulations ⋮ Asymptotic Enumeration of Constellations and Related Families of Maps on Orientable Surfaces ⋮ Statistics of the Voronoï cell perimeter in large bi-pointed maps ⋮ A bijection for covered maps, or a shortcut between Harer-Zagiers and Jacksons formulas ⋮ The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions ⋮ The three-point function of planar quadrangulations

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