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Anton Bovier

A branching random walk with self repulsion
Vendredi, 7 Juin, 2024 - 09:30 à 10:30
Résumé : 
We consider a discrete time branching random walk where each particle splits into two at integer times and the offspring move independently by a normal random variable. We introduce a penalty that penalises particles that get within a distance epsilon of each other. We analyse the most likely configurations of particles under the tilted measure for a fixed time horizon N. It turns out that spread very quickly to a distance 2^{2N/3} and show a very abrupt change in behaviour at time 2N/3. 
This is joint work with Lisa Hartung, Frank den Hollander and Stefan Müller.
Institution de l'orateur : 
Universität Bonn
Thème de recherche : 
Salle : 
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