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Authors: Bovier, Anton
Hartung, Lisa
Title: Branching Brownian motion with self-repulsion
Online publication date: 30-Jan-2023
Year of first publication: 2022
Language: english
Abstract: We consider a model of branching Brownian motion with self-repulsion. Self-repulsion is introduced via a change of measure that penalises particles spending time in an ϵ-neighbourhood of each other. We derive a simplified version of the model where only branching events are penalised. This model is almost exactly solvable, and we derive a precise description of the particle numbers and branching times. In the limit of weak penalty, an interesting universal time-inhomogeneous branching process emerges. The position of the maximum is governed by a F-KPP type reaction-diffusion equation with a time-dependent reaction term.
DDC: 510 Mathematik
510 Mathematics
Institution: Johannes Gutenberg-Universität Mainz
Department: FB 08 Physik, Mathematik u. Informatik
Place: Mainz
Version: Published version
Publication type: Zeitschriftenaufsatz
License: CC BY
Information on rights of use:
Journal: Annales Henri Poincaré
Version of Record (VoR)
Publisher: Springer International Publishing AG
Publisher place: Cham (ZG)
Issue date: 2022
ISSN: 1424-0661
Publisher DOI: 10.1007/s00023-022-01223-8
Appears in collections:DFG-491381577-H

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