Zur Kurzanzeige

dc.contributor.authorDjurdjevac, Ana
dc.contributor.authorElad Altman, Henri
dc.contributor.authorRosati, Tommaso
dc.contributor.editorGeldhauser, Carina
dc.contributor.editorTam, Matthew K.
dc.contributor.editorRandecker, Anja
dc.date.accessioned2024-05-22T13:48:56Z
dc.date.available2024-05-22T13:48:56Z
dc.date.issued2024-05-22
dc.identifier.urihttp://publications.mfo.de/handle/mfo/4146
dc.description.abstractDifferential equations make predictions on the future state of a system given the present. In order to get a sensible prediction, sometimes it is necessary to include randomness in differential equations, taking microscopic effects into account. Surprisingly, despite the presence of randomness, our probabilistic prediction of future states is stable with respect to changes in the surrounding environment, even if the original prediction was unstable. This snapshot will unveil the core mathematical mechanism underlying this "regularisation by noise" phenomenon.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesSnapshots of modern mathematics from Oberwolfach;2024-02
dc.rightsAttribution-ShareAlike 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-sa/4.0/*
dc.titleRandomness is Natural - an Introduction to Regularisation by Noiseen_US
dc.typeArticleen_US
dc.identifier.doi10.14760/SNAP-2024-002-EN
local.series.idSNAP-2024-002-ENen_US
local.subject.snapshotProbability Theory and Statisticsen_US
dc.identifier.urnurn:nbn:de:101:1-2405231042597.511417719746
dc.identifier.ppn188966510X


Dateien zu dieser Ressource

Thumbnail
Thumbnail

Das Dokument erscheint in:

Zur Kurzanzeige

Attribution-ShareAlike 4.0 International
Solange nicht anders angezeigt, wird die Lizenz wie folgt beschrieben: Attribution-ShareAlike 4.0 International