Recursive construction of continuum random trees

DOI10.1214/17-AOP1237zbMath1445.60064arXiv1607.05323OpenAlexW2963281239MaRDI QIDQ1800818

Matthias Winkel, Franz Rembart

Publication date: 24 October 2018

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

Full work available at URL: https://arxiv.org/abs/1607.05323

zbMATH Keywords

growth fragmentationstable treeself-similar treecontinuum treesstring of beads

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (10)

Profile of a self-similar growth-fragmentation ⋮ Self-similar growth fragmentations as scaling limits of Markov branching processes ⋮ Random gluing of metric spaces ⋮ A binary embedding of the stable line-breaking construction ⋮ Parking on Cayley trees and frozen Erdős-Rényi ⋮ A recursive distributional equation for the stable tree ⋮ Scaling limits for some random trees constructed inhomogeneously ⋮ Exchangeable hierarchies and mass-structure of weighted real trees ⋮ Self-similar real trees defined as fixed points and their geometric properties ⋮ Gibbs partitions, Riemann–Liouville fractional operators, Mittag–Leffler functions, and fragmentations derived from stable subordinators

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