Growth-fragmentation processes in Brownian motion indexed by the Brownian tree

DOI10.1214/19-AOP1406zbMath1464.60078arXiv1811.02825MaRDI QIDQ782402

Jean-François Le Gall, Armand Riera

Publication date: 27 July 2020

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02825

zbMATH Keywords

Brownian snakeBrownian treeBrownian diskboundary sizegrowth-fragmentation processtree-indexed Brownian motion

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Brownian motion (60J65) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55)

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Growth-fragmentation process embedded in a planar Brownian excursion ⋮ Intrinsic area near the origin for self-similar growth-fragmentations and related random surfaces ⋮ Parking on the infinite binary tree ⋮ The Markov property of local times of Brownian motion indexed by the Brownian tree ⋮ Self-similar signed growth-fragmentations ⋮ Parking on Cayley trees and frozen Erdős-Rényi ⋮ Brownian geometry ⋮ On conditioning a self-similar growth-fragmentation by its intrinsic area ⋮ Isoperimetric inequalities in the Brownian plane

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