Lévy processes conditioned on having a large height process

DOI10.1214/12-AIHP491zbMath1295.60058arXiv1106.2245OpenAlexW2090971533MaRDI QIDQ376686

Mathieu Richard

Publication date: 19 November 2013

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/1106.2245

zbMATH Keywords

Lévy processqueueing theoryspine decompositionsplitting treesize-biased distributionDoob harmonic transformexploration processheight process

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Queueing theory (aspects of probability theory) (60K25) Applications of branching processes (60J85) Martingales with continuous parameter (60G44) General theory of stochastic processes (60G07) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Height and contour processes of Crump-Mode-Jagers forests. I: general distribution and scaling limits in the case of short edges ⋮ Height and contour processes of Crump-Mode-Jagers forests. II: the Bellman-Harris universality class

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