Institute of Mathematics


Modul:   MAT971  Stochastische Prozesse

Multitype growth-fragmentation and planar excursions

Talk by Dr. William Da Silva

Speaker invited by: Prof. Dr. Jean Bertoin

Date: 04.05.22  Time: 17.15 - 18.15  Room: Y27H12

Growth-fragmentation processes are branching processes which model the evolution of a cloud of atoms which may grow and dislocate as time evolves. In a pioneering work, Bertoin, Budd, Curien and Kortchemski describe the branching structure of these particle systems, as well as a particular family obtained in the scaling limit from a Markov peeling process of large random planar maps. We first construct, on a half-planar excursion whose real part is a stable process, a signed version of some of the growth-fragmentation processes revealed by Bertoin, Budd, Curien and Kortchemski. This will prompt us to define a framework for growth-fragmentation with signs, or more generally with types, for which we provide a spinal description. This talk is partly based on joint works with Élie Aïdékon (Fudan University) and Juan Carlos Pardo (CIMAT).