A rough path perspective on renormalization

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dc.contributor.authorBruned, Y.
dc.contributor.authorChevyrev, I.
dc.contributor.authorFriz, Peter K.
dc.contributor.authorPreiß, Rosa Lili Dora
dc.contributor.otherElsevier
dc.date.accessioned2022-10-12T10:49:12Z
dc.date.available2022-10-12T10:49:12Z
dc.date.issued2019-10-01
dc.description.abstractWe develop the algebraic theory of rough path translation. Particular attention is given to the case of branched rough paths, whose underlying algebraic structure (Connes-Kreimer, Grossman-Larson) makes it a useful model case of a regularity structure in the sense of Hairer. Pre-Lie structures are seen to play a fundamental rule which allow a direct understanding of the translated (i.e. renormalized) equation under consideration. This construction is also novel with regard to the algebraic renormalization theory for regularity structures due to Bruned–Hairer–Zambotti (2016), the links with which are discussed in detail.en
dc.description.sponsorshipEC/H2020/683164/EU/Geometric aspects in pathwise stochastic analysis and related topics/GPSART
dc.description.sponsorshipDFG, 277012070, FOR 2402: Rough Paths, Stochastic Partial Differential Equations and Related Topics
dc.identifier.eissn1096-0783
dc.identifier.issn0022-1236
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/17569
dc.identifier.urihttps://doi.org/10.14279/depositonce-16350
dc.language.isoen
dc.relation.ispartof10.14279/depositonce-16256
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.ddc512 Algebrade
dc.subject.otherrough pathsen
dc.subject.otherrenormalizationen
dc.subject.otherPre-Lie structuresen
dc.subject.otherregularity structuresen
dc.titleA rough path perspective on renormalizationen
dc.typeArticle
dc.type.versionpublishedVersion
dcterms.bibliographicCitation.articlenumber108283
dcterms.bibliographicCitation.doi10.1016/j.jfa.2019.108283
dcterms.bibliographicCitation.issue11
dcterms.bibliographicCitation.journaltitleJournal of Functional Analysis
dcterms.bibliographicCitation.originalpublishernameElsevier
dcterms.bibliographicCitation.originalpublisherplaceAmsterdam
dcterms.bibliographicCitation.volume277
tub.accessrights.dnbfree
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::AG Stochastik und Finanzmathematik
tub.publisher.universityorinstitutionTechnische Universität Berlin
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