The geometry of the space of branched Rough Paths - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Proceedings of the London Mathematical Society Année : 2020

The geometry of the space of branched Rough Paths

Résumé

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 theses two spaces. This endows the space of branched rough paths 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 and on the Hairer-Kelly map, which allows to describe branched rough paths in terms of anisotropic geometric rough paths.
Fichier principal
Vignette du fichier
TZ2.pdf (602.3 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01908559 , version 1 (30-10-2018)
hal-01908559 , version 2 (20-01-2020)

Identifiants

Citer

Nikolas Tapia, Lorenzo Zambotti. The geometry of the space of branched Rough Paths. Proceedings of the London Mathematical Society, 2020, 121 (2), pp.220-251. ⟨10.1112/plms.12311⟩. ⟨hal-01908559v2⟩
89 Consultations
214 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More