Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-8372
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dc.contributor.authorBovier, Anton-
dc.contributor.authorHartung, Lisa-
dc.date.accessioned2023-01-30T09:55:01Z-
dc.date.available2023-01-30T09:55:01Z-
dc.date.issued2022-
dc.identifier.urihttps://openscience.ub.uni-mainz.de/handle/20.500.12030/8388-
dc.description.abstractWe 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.en_GB
dc.description.sponsorshipGefördert durch die Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 491381577de
dc.language.isoengde
dc.rightsCC BY*
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/*
dc.subject.ddc510 Mathematikde_DE
dc.subject.ddc510 Mathematicsen_GB
dc.titleBranching Brownian motion with self-repulsionen_GB
dc.typeZeitschriftenaufsatzde
dc.identifier.doihttp://doi.org/10.25358/openscience-8372-
jgu.type.dinitypearticleen_GB
jgu.type.versionPublished versionde
jgu.type.resourceTextde
jgu.organisation.departmentFB 08 Physik, Mathematik u. Informatikde
jgu.organisation.number7940-
jgu.organisation.nameJohannes Gutenberg-Universität Mainz-
jgu.rights.accessrightsopenAccess-
jgu.journal.titleAnnales Henri Poincaréde
jgu.journal.volumeVersion of Record (VoR)de
jgu.publisher.year2022-
jgu.publisher.nameSpringer International Publishing AGde
jgu.publisher.placeCham (ZG)de
jgu.publisher.issn1424-0661de
jgu.organisation.placeMainz-
jgu.subject.ddccode510de
jgu.publisher.doi10.1007/s00023-022-01223-8de
jgu.organisation.rorhttps://ror.org/023b0x485-
jgu.subject.dfgNaturwissenschaftende
Appears in collections:DFG-491381577-H

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