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    Calendar : Event Details
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    Applied and Computational Mathematics Seminar

    Date Tuesday, May 28, 2024
    Time 14:30
    Ends 15:30
    Place Zoom
    Title A branching random walk with self repulsion
    Speaker Anton Bovier
    Affiliation University of Bonn, Germany
    Detail 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.
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