Totally ordered measured trees and splitting trees with infinite variation

DOI10.1214/18-EJP251zbMath1406.60071arXiv1607.02114MaRDI QIDQ1722015

Amaury Lambert, Gerónimo Uribe Bravo

Publication date: 14 February 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02114

zbMATH Keywords

Lévy processessplitting propertychronological trees

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Trees (05C05) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

The comb representation of compact ultrametric spaces ⋮ Random ultrametric trees and applications ⋮ Diffusions on a space of interval partitions: construction from marked Lévy processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the law of the supremum of Lévy processes
• A continuum-tree-valued Markov process
• The convex minorant of a Lévy process
• The prolific backbone for supercritical superprocesses
• On intrinsic geometry of surfaces in normed spaces
• The continuum random tree. I
• Rayleigh processes, real trees, and root growth with re-grafting
• Fluctuation theory for Lévy processes. Ecole d'Eté de probabilités de Saint-Flour XXXV -- 2005.
• Sur la décomposition de la trajectoire d'un processus de Lévy spectralement positif en son infimum. (On the path decomposition at the infimum for a spectrally positive Lévy process)
• Branching processes in Lévy processes: The exploration process
• Height and contour processes of Crump-Mode-Jagers forests. I: general distribution and scaling limits in the case of short edges
• Probabilistic models for the (sub)tree(s) of life
• Probabilistic and fractal aspects of Lévy trees
• The real tree
• Exit times for an increasing Lévy tree-valued process
• The contour of splitting trees is a Lévy process
• The continuum random tree. III
• Random real trees
• Regenerative real trees
• Growth of Lévy trees
• On Prolific Individuals in a Supercritical Continuous-State Branching Process
• Population Dynamics and Random Genealogies
• On scaling limits of multitype Galton-Watson trees with possibly infinite variance
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

This page was built for publication: Totally ordered measured trees and splitting trees with infinite variation