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
ROR:	https://ror.org/023b0x485
DOI:	http://doi.org/10.25358/openscience-8372
Version:	Published version
Publication type:	Zeitschriftenaufsatz
License:	CC BY
Information on rights of use:	https://creativecommons.org/licenses/by/4.0/
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