# PS : Xinxin Chen (ICJ, Univ. Lyon I) : Branching random walk and branching Brownian motion on small maximum

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# PS : Xinxin Chen (ICJ, Univ. Lyon I) : Branching random walk and branching Brownian motion on small maximum

## 3 décembre 2019 / 11:30 - 12:30

We are interested in the maximum of supercritical branching random walk or branching Brownian motion in the real line, which under some mild condition, shifted by \$a*n-b\log n\$, converges in law to some non-degenerate distribution. We first study the lower and moderate deviation probabilities for this convergence and obtain different regimes in Schröder case and Bëtcher case. Next, we consider the process conditioned on atypically small maximum and describe its behaviours. This is based on the joint works with Hui He and Bastien Mallein.

PS : Xinxin Chen (ICJ, Univ. Lyon I) : Branching random walk and branching Brownian motion on small maximum

## Détails

Date :
3 décembre 2019
Heure :
11:30 - 12:30
Catégorie d’évènement:

## Lieu

Bâtiment Fermat, salle 2107

Alexis Devulder
Julien Worms