Regenerative real trees

DOI10.1214/009117907000000187zbMath1203.60134arXivmath/0511172OpenAlexW2072132484MaRDI QIDQ2460322

Mathilde Weill

Publication date: 14 November 2007

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

Full work available at URL: https://arxiv.org/abs/math/0511172

zbMATH Keywords

branching processesGalton-Watson treesLévy trees

Mathematics Subject Classification ID

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

Related Items (8)

Excursion theory for Brownian motion indexed by the Brownian tree ⋮ Subordination of trees and the Brownian map ⋮ Exceptionally small balls in stable trees ⋮ Scaling limit of a limit order book model via the regenerative characterization of Lévy trees ⋮ Totally ordered measured trees and splitting trees with infinite variation ⋮ Hereditary tree growth and Lévy forests ⋮ Packing and Hausdorff Measures of Stable Trees ⋮ The exact packing measure of Lévy trees

Cites Work

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• The continuum random tree. I
• Rayleigh processes, real trees, and root growth with re-grafting
• On the convergence of sequences of branching processes
• Self-similar fragmentation derived from the stable tree. I: Splitting at heights
• Probabilistic and fractal aspects of Lévy trees
• Self-similar fragmentations derived from the stable tree. II: Splitting at nodes
• The continuum random tree. III
• Subtree prune and regraft: a reversible real tree-valued Markov process
• Markov Chains
• The Limit of a Sequence of Branching Processes

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