Please use this identifier to cite or link to this item:
http://doi.org/10.25358/openscience-8372
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DC Field | Value | Language |
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dc.contributor.author | Bovier, Anton | - |
dc.contributor.author | Hartung, Lisa | - |
dc.date.accessioned | 2023-01-30T09:55:01Z | - |
dc.date.available | 2023-01-30T09:55:01Z | - |
dc.date.issued | 2022 | - |
dc.identifier.uri | https://openscience.ub.uni-mainz.de/handle/20.500.12030/8388 | - |
dc.description.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. | en_GB |
dc.description.sponsorship | Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 491381577 | de |
dc.language.iso | eng | de |
dc.rights | CC BY | * |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | * |
dc.subject.ddc | 510 Mathematik | de_DE |
dc.subject.ddc | 510 Mathematics | en_GB |
dc.title | Branching Brownian motion with self-repulsion | en_GB |
dc.type | Zeitschriftenaufsatz | de |
dc.identifier.doi | http://doi.org/10.25358/openscience-8372 | - |
jgu.type.dinitype | article | en_GB |
jgu.type.version | Published version | de |
jgu.type.resource | Text | de |
jgu.organisation.department | FB 08 Physik, Mathematik u. Informatik | de |
jgu.organisation.number | 7940 | - |
jgu.organisation.name | Johannes Gutenberg-Universität Mainz | - |
jgu.rights.accessrights | openAccess | - |
jgu.journal.title | Annales Henri Poincaré | de |
jgu.journal.volume | Version of Record (VoR) | de |
jgu.publisher.year | 2022 | - |
jgu.publisher.name | Springer International Publishing AG | de |
jgu.publisher.place | Cham (ZG) | de |
jgu.publisher.issn | 1424-0661 | de |
jgu.organisation.place | Mainz | - |
jgu.subject.ddccode | 510 | de |
jgu.publisher.doi | 10.1007/s00023-022-01223-8 | de |
jgu.organisation.ror | https://ror.org/023b0x485 | - |
jgu.subject.dfg | Naturwissenschaften | de |
Appears in collections: | DFG-491381577-H |
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![]() | branching_brownian_motion_wit-20221121131926035.pdf | 604.77 kB | Adobe PDF | View/Open |