Growth of the Brownian forest

DOI10.1214/009117905000000422zbMath1092.60033arXivmath/0404199OpenAlexW2115486603MaRDI QIDQ2368838

Matthias Winkel, Jim W. Pitman

Publication date: 28 April 2006

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

Full work available at URL: https://arxiv.org/abs/math/0404199

zbMATH Keywords

Brownian motionContinuum random treeWilliams' decompositionbinary Galton-Watson branching processforest-valued Markov process

Mathematics Subject Classification ID

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

Related Items (4)

Hidden symmetries and limit laws in the extreme order statistics of the Laplace random walk ⋮ Growth of Lévy trees ⋮ Patterns in Random Walks and Brownian Motion ⋮ Williams' decomposition of the Lévy continuum random tree and simultaneous extinction probability for populations with neutral mutations

Cites Work

• The continuum random tree. I
• Arbres et processus de Galton-Watson. (Trees and Galton-Watson processes)
• A path decomposition for Markov processes
• Brownian motion, bridge excursion, and meander characterized by sampling at independent uniform times
• Stopped Markov chains with stationary occupation times
• Path decompositions for Markov chains.
• The continuum random tree. III
• Fluctuation identities for lévy processes and splitting at the maximum
• Path Decomposition and Continuity of Local Time for One-Dimensional Diffusions, I
• First Passage and Recurrence Distributions
• Probability
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