Behavior near the extinction time in self-similar fragmentations. I: The stable case

DOI10.1214/09-AIHP317zbMath1214.60012arXiv0805.0967OpenAlexW2953349858MaRDI QIDQ985326

Christina Goldschmidt, Bénédicte Haas

Publication date: 21 July 2010

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.0967

zbMATH Keywords

scaling limitsstable Lévy processesextinction timeself-similar fragmentationsheight processes

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Self-similar stochastic processes (60G18) Stable stochastic processes (60G52)

Related Items (12)

Behavior near the extinction time in self-similar fragmentations. II: Finite dislocation measures. ⋮ Sharp concentration for the largest and smallest fragment in a \(k\)-regular self-similar fragmentation ⋮ Zooming in at the root of the stable tree ⋮ Exceptionally small balls in stable trees ⋮ Infinite stable looptrees ⋮ Scaling limit of linearly edge-reinforced random walks on critical Galton-Watson trees ⋮ Heavy subtrees of Galton-Watson trees with an application to Apollonian networks ⋮ Behavior near the extinction time in self-similar fragmentations. I: The stable case ⋮ Brownian motion on stable looptrees ⋮ Packing and Hausdorff Measures of Stable Trees ⋮ The exact packing measure of Lévy trees ⋮ Scaling limits for a family of unrooted trees

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