Journée-séminaire de combinatoire

(équipe CALIN du LIPN, université Paris-Nord, Villetaneuse)

Le 27 septembre 2016 à 14h00 en B107, Quan Shi nous parlera de : Random recursive trees and growth-fragmentations

Résumé : Growth-fragmentation processes describe the evolution of particles that grow and divide as time proceeds. Previous studies on growth-fragmentations have mostly focused on the self-similar case. In this talk we introduce a new class of growth-fragmentations, called Ornstein- Uhlenbeck type growth-fragmentations. Loosely speaking, the size of each fragment evolves according to the exponential of a Lévy driven Ornstein-Uhlenbeck type process. This model is partly motivated by the work of Bertoin and Baur (EJP. 2015) which shows that such processes arise naturally in dynamical percolation on an infinite random recursive tree.


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