GEx-MBB : Genealogy of the extrema of branching Brownian motion
Members
- Pascal Maillard, IMT, Université de Toulouse
- Bastien Mallein, IMT, Université de Toulouse
- Stéphane Munier, CPHT, École Polytechnique
- Michel Pain, IMT, Université de Toulouse
Description of the project
Branching Brownian motion is a particle system, in which particles move as continuous stochastic processes and reproduce independently of one another.
It is one of the simplest spatial branching processes.
Such a process appears in particle physics: the interaction state of quantum particles is generically a random ensemble of elementary particles, which in
a certain regime relevant to very high-energy colliders, appear to be generated by a branching process belonging to the universality class of branching Brownian
motion. The total cross sections can be related to the statistics of extreme values of this process. The genealogies of extreme particles, which are the subject
of detailed study in this project, correspond to final state observables. A qualitative understanding of these genealogies will lead to predictions for diffractive
electron-nucleus cross sections, comparable to measurements from the future ``Electron-Ion Collider''.
Open position
A PhD thesis in École Polytechnique, starting October 1st 2025. This PhD is constructed as a collaboration between the University
of Toulouse and École Polytechnique, and will require several stays in Toulouse. Please write to Stéphane Munier and myself for more information. The application will be through
the CNRS application portal and should open in early 2025.
In addition to the PhD, we offer M2-level internship associated to this topic. Again, if interested, please reach out to Stéphane Munier and Bastien Mallein.