The Markov property of local times of Brownian motion indexed by the Brownian tree

DOI10.1214/23-aop1652arXiv2211.08041OpenAlexW4391363415MaRDI QIDQ6118757

Jean-François Le Gall

Publication date: 28 February 2024

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

Full work available at URL: https://arxiv.org/abs/2211.08041

zbMATH Keywords

Brownian motionlocal timeMarkov propertyBrownian tree

Mathematics Subject Classification ID

Brownian motion (60J65) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55) Superprocesses (60J68)

Cites Work

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• The hull process of the Brownian plane
• Uniqueness and universality of the Brownian map
• The Brownian map is the scaling limit of uniform random plane quadrangulations
• The continuum random tree. I
• Growth-fragmentation processes in Brownian motion indexed by the Brownian tree
• The density of the ISE and local limit laws for embedded trees
• Random trees and applications
• The scaling limit of lattice trees in high dimensions
• Excursion theory for Brownian motion indexed by the Brownian tree
• Subordination of trees and the Brownian map
• Brownian disks and the Brownian snake
• Path transformations of first passage bridges
• Some properties for the measure-valued branching diffusion processes
• Super-Brownian limits of voter model clusters
• Spine representations for non-compact models of random geometry
• Improved Hölder continuity near the boundary of one-dimensional super-Brownian motion
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• Tree-based models for random distribution of mass
• Conditioned Brownian trees
• The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion
• Limit laws for embedded trees: Applications to the integrated superBrownian excursion
• On some exponential functionals of Brownian motion
• Some explicit distributions for Brownian motion indexed by the Brownian tree
• Continuous state branching processes

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