A Hamilton-Jacobi point of view on mean-field Gibbs-non-Gibbs transitions

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dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2461
dc.contributor.authorKraaij, Richard C.
dc.contributor.authorRedig, Frank
dc.contributor.authorZuijlen, Willem B. van
dc.date.accessioned2018-03-30T04:31:52Z
dc.date.available2019-06-28T08:03:20Z
dc.date.issued2017
dc.description.abstractWe study the loss, recovery, and preservation of differentiability of timedependent large deviation rate functions. This study is motivated by mean-field Gibbs-non-Gibbs transitions. The gradient of the rate-function evolves according to a Hamiltonian flow. This Hamiltonian flow is used to analyze the regularity of the time dependent rate function, both for Glauber dynamics for the Curie-Weiss model and Brownian dynamics in a potential. We hereby create a unifying framework for the treatment of mean-field Gibbs-non-Gibbs transitions, based on Hamiltonian dynamics and viscosity solutions of Hamilton-Jacobi equations.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn2198-5855
dc.identifier.urihttps://doi.org/10.34657/1799
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/2019
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.doihttps://doi.org/10.20347/WIAS.PREPRINT.2461
dc.relation.issn0946-8633eng
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510eng
dc.subject.otherHamiltonian dynamicseng
dc.subject.otherHamilton-Jacobi equationeng
dc.subject.otherMean-field modelseng
dc.subject.otherlarge deviation principleeng
dc.subject.otherGibbs versus non-Gibbseng
dc.subject.otherdynamical transitioneng
dc.subject.otherglobal minimisers of rate functionseng
dc.titleA Hamilton-Jacobi point of view on mean-field Gibbs-non-Gibbs transitionseng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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