Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-11077
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dc.contributor.authorTapia, Nikolas-
dc.contributor.authorZambotti, Lorenzo-
dc.date.accessioned2020-12-16T12:58:52Z-
dc.date.available2020-12-16T12:58:52Z-
dc.date.issued2020-03-18-
dc.identifier.issn0024-6115-
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/12202-
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-11077-
dc.description.abstractWe construct an explicit transitive free action of a Banach space of Hölder functions on the space of branched rough paths, which yields in particular a bijection between these two spaces. This endows the space of branched rough paths with the structure of a principal homogeneous space over a Banach space and allows to characterize its automorphisms. The construction is based on the Baker–Campbell–Hausdorff formula, on a constructive version of the Lyons–Victoir extension theorem and on the Hairer–Kelly map, which allows to describe branched rough paths in terms of anisotropic geometric rough paths.en
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subject.ddc510 Mathematikde
dc.subject.other60H10 (primary)en
dc.subject.other16T05 (secondary)en
dc.titleThe geometry of the space of branched rough pathsen
dc.typeArticleen
dc.date.updated2020-12-07T10:45:22Z-
tub.accessrights.dnbfreeen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
dc.identifier.eissn1460-244X-
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1112/plms.12311en
dcterms.bibliographicCitation.journaltitleProceedings of the London Mathematical Societyen
dcterms.bibliographicCitation.originalpublisherplaceNew York, NYen
dcterms.bibliographicCitation.volume121en
dcterms.bibliographicCitation.pageend251en
dcterms.bibliographicCitation.pagestart220en
dcterms.bibliographicCitation.originalpublishernameWileyen
dcterms.bibliographicCitation.issue2en
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