The uniform random tree in a Brownian excursion

DOI10.1007/BF01292678zbMath0794.60080MaRDI QIDQ1326350

Jean-François Le Gall

Publication date: 15 August 1994

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

zbMATH Keywords

representation theorembranching treenormalized excursionsubexcursions

Mathematics Subject Classification ID

Brownian motion (60J65) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (26)

A conversation with Jim Pitman ⋮ Markov snakes and superprocesses ⋮ Tokunaga and Horton self-similarity for level set trees of Markov chains ⋮ Branching Processes -- A General Concept ⋮ Height and contour processes of Crump-Mode-Jagers forests. I: general distribution and scaling limits in the case of short edges ⋮ Exceptionally small balls in stable trees ⋮ A limit theorem for the contour process of conditioned Galton-Watson trees ⋮ Convergence of blanket times for sequences of random walks on critical random graphs ⋮ Dynamical pruning of rooted trees with applications to 1-D ballistic annihilation ⋮ Scaling Limits of Random Trees and Random Graphs ⋮ A new combinatorial representation of the additive coalescent ⋮ The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion ⋮ Cost functionals for large (uniform and simply generated) random trees ⋮ Asymptotics of trees with a prescribed degree sequence and applications ⋮ Random self-similar trees and a hierarchical branching process ⋮ The packing measure of the range of super-Brownian motion ⋮ The contour of splitting trees is a Lévy process ⋮ Tree-based models for random distribution of mass ⋮ Patterns in Random Walks and Brownian Motion ⋮ Random self-similar trees: a mathematical theory of Horton laws ⋮ The incipient infinite cluster in high-dimensional percolation ⋮ A conversation with David J. Aldous ⋮ Mean-field lattice trees ⋮ Branching processes in Lévy processes: The exploration process ⋮ Branching processes in Lévy processes: Laplace functionals of snakes and superprocesses ⋮ The standard additive coalescent

Cites Work

• The continuum random tree. I
• Brownian excursions, trees and measure-valued branching processes
• The continuum random tree. III
• Last exit decompositions and regularity at the boundary of transition probabilities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The uniform random tree in a Brownian excursion