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dc.contributor.authorAvelin, Benny
dc.contributor.authorJulin, Vesa
dc.date.accessioned2024-04-18T12:09:34Z
dc.date.available2024-04-18T12:09:34Z
dc.date.issued2024
dc.identifier.citationAvelin, B., & Julin, V. (2024). A note on the capacity estimate in metastability for generic configurations. <i>Manuscripta Mathematica</i>, <i>Early online</i>. <a href="https://doi.org/10.1007/s00229-024-01555-1" target="_blank">https://doi.org/10.1007/s00229-024-01555-1</a>
dc.identifier.otherCONVID_213159011
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/94375
dc.description.abstractIn this paper we further develop the ideas from Geometric Function Theory initially introduced in Avelin et al. (Commun Math Phys 404:401–437, 2023), to derive capacity estimate in metastability for arbitrary configurations. The novelty of this paper is twofold. First, the graph theoretical connection enables us to exactly compute the pre-factor in the capacity. Second, we complete the method from Avelin et al. (Commun Math Phys 404:401–437, 2023) by providing an upper bound using Geometric Function Theory together with Thompson’s principle, avoiding explicit constructions of test functions.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofseriesManuscripta Mathematica
dc.rightsCC BY 4.0
dc.subject.other31B15
dc.subject.other35Q84
dc.titleA note on the capacity estimate in metastability for generic configurations
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202404182991
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineAnalyysin ja dynamiikan tutkimuksen huippuyksikköfi
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineAnalysis and Dynamics Research (Centre of Excellence)en
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.relation.issn0025-2611
dc.relation.volumeEarly online
dc.type.versionpublishedVersion
dc.rights.copyright© 2024 the Authors
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber314227
dc.subject.ysopotentiaaliteoria
dc.subject.ysofunktioteoria
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p18911
jyx.subject.urihttp://www.yso.fi/onto/yso/p18494
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1007/s00229-024-01555-1
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramResearch costs of Academy Research Fellow, AoFen
jyx.fundingprogramAkatemiatutkijan tutkimuskulut, SAfi
jyx.fundinginformationOpen Access funding provided by University of Jyväskylä (JYU). B.A. was supported by the Swedish Research Council DNR: 2019–04098. V.J. was supported by the Academy of Finland Grant 314227.
dc.type.okmA1


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