A rough path perspective on renormalization

dc.bibliographicCitation.firstPage108283eng
dc.bibliographicCitation.issue11eng
dc.bibliographicCitation.journalTitleJournal of functional analysiseng
dc.bibliographicCitation.volume277eng
dc.contributor.authorBruned, Y.
dc.contributor.authorChevyrev, I.
dc.contributor.authorFriz, P.K.
dc.contributor.authorPreiß, R.
dc.date.accessioned2021-11-16T07:39:52Z
dc.date.available2021-11-16T07:39:52Z
dc.date.issued2019
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. © 2019 The Author(s)eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/7299
dc.identifier.urihttps://doi.org/10.34657/6346
dc.language.isoengeng
dc.publisherAmsterdam [u.a.] : Elseviereng
dc.relation.doihttps://doi.org/10.1016/j.jfa.2019.108283
dc.relation.essn1096-0783
dc.rights.licenseCC BY 4.0 Unportedeng
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/eng
dc.subject.ddc510eng
dc.subject.otherPre-Lie structureseng
dc.subject.otherRegularity structureseng
dc.subject.otherRenormalizationeng
dc.subject.otherRough pathseng
dc.titleA rough path perspective on renormalizationeng
dc.typeArticleeng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeZeitschriftenartikeleng
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