The hull process of the Brownian plane

DOI10.1007/s00440-015-0652-6zbMath1347.05226arXiv1409.4026OpenAlexW1948051576MaRDI QIDQ328778

Jean-François Le Gall, Nicolas Curien

Publication date: 21 October 2016

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4026

zbMATH Keywords

Brownian map

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Superprocesses (60J68)

Related Items (23)

Compact Brownian surfaces ⋮ Geodesic stars in random geometry ⋮ Excursion theory for Brownian motion indexed by the Brownian tree ⋮ The hyperbolic Brownian plane ⋮ The Brownian disk viewed from a boundary point ⋮ Subordination of trees and the Brownian map ⋮ An axiomatic characterization of the Brownian map ⋮ Refined universal laws for hull volumes and perimeters in large planar maps ⋮ Classification of scaling limits of uniform quadrangulations with a boundary ⋮ Separating cycles and isoperimetric inequalities in the uniform infinite planar quadrangulation ⋮ The Markov property of local times of Brownian motion indexed by the Brownian tree ⋮ What is a random surface? ⋮ Eulerian triangulations: two-point function and hull perimeter statistics ⋮ Random planar maps and growth-fragmentations ⋮ Brownian geometry ⋮ Bessel Processes, the Brownian Snake and Super-Brownian Motion ⋮ Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric ⋮ Spine representations for non-compact models of random geometry ⋮ The skeleton of the UIPT, seen from infinity ⋮ Growth-fragmentation processes in Brownian motion indexed by the Brownian tree ⋮ The volume measure of the Brownian sphere is a Hausdorff measure ⋮ Isoperimetric inequalities in the Brownian plane ⋮ The peeling process of infinite Boltzmann planar maps

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