A few universal properties of branching random walks

by Stéphane Munier (CPHT, Ecole Polytechnique, CNRS)

Wednesday 27 Mar 2019, 14:30 → 16:30 Europe/Rome

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Branching random walks (BRW) are mathematical processes that may model the dynamics of a variety of physical systems. In particular, they turn out to be relevant
for the study of very high-energy scattering processes in particle physics, such as electron-nucleus scattering: The total cross section of such a process is
indeed related to the statistics of the lead particles generated by a peculiar BRW, while some characteristic features of diffractive events can be deduced from
to the properties of genealogical trees of a set of extremal particles. In this seminar, we will focus on a few universal results on BRW, which we shall explain
with the help of a phenomenological picture that we have developed.