The geometry of the space of branched rough paths
dc.bibliographicCitation.firstPage | 220 | eng |
dc.bibliographicCitation.issue | 2 | eng |
dc.bibliographicCitation.journalTitle | Proceedings of the London Mathematical Society | eng |
dc.bibliographicCitation.lastPage | 251 | eng |
dc.bibliographicCitation.volume | 121 | eng |
dc.contributor.author | Tapia, Nikolas | |
dc.contributor.author | Zambotti, Lorenzo | |
dc.date.accessioned | 2021-12-14T09:47:58Z | |
dc.date.available | 2021-12-14T09:47:58Z | |
dc.date.issued | 2020 | |
dc.description.abstract | We 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. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/7731 | |
dc.identifier.uri | https://doi.org/10.34657/6778 | |
dc.language.iso | eng | eng |
dc.publisher | Chichester : Wiley | eng |
dc.relation.doi | https://doi.org/10.1112/plms.12311 | |
dc.relation.essn | 1460-244X | |
dc.rights.license | CC BY 4.0 Unported | eng |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | eng |
dc.subject.ddc | 510 | eng |
dc.subject.other | Banach space | eng |
dc.subject.other | Hölder functions | eng |
dc.subject.other | Baker–Campbell–Hausdorff formula | eng |
dc.title | The geometry of the space of branched rough paths | eng |
dc.type | Article | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Zeitschriftenartikel | eng |
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