Electronic Communications in Probability

On the re-rooting invariance property of Lévy trees

Thomas Duquesne and Jean-Francois Le Gall

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We prove a strong form of the invariance under re-rooting of the distribution of the continuous random trees called Lévy trees. This expends previous results due to several authors.

Article information

Electron. Commun. Probab. Volume 14 (2009), paper no. 31, 317-326.

Accepted: 12 August 2009
First available in Project Euclid: 6 June 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Secondary: 60G51: Processes with independent increments; Lévy processes

continuous tree stable tree re-rooting Lévy process

This work is licensed under a Creative Commons Attribution 3.0 License.


Duquesne, Thomas; Le Gall, Jean-Francois. On the re-rooting invariance property of Lévy trees. Electron. Commun. Probab. 14 (2009), paper no. 31, 317--326. doi:10.1214/ECP.v14-1484. https://projecteuclid.org/euclid.ecp/1465234740

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