The geometry of the space of branched rough paths

DOI10.1112/plms.12311zbMath1465.60087arXiv1810.12179OpenAlexW3100873525MaRDI QIDQ5109408

Lorenzo Zambotti, Nikolas Tapia

Publication date: 12 May 2020

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12179

zbMATH Keywords

Baker-Campbell-Hausdorff formulabranched rough pathsLyons-Victoir extension theorem

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Hopf algebras and their applications (16T05) Rough paths (60L20)

Related Items (8)

Renormalisation from non-geometric to geometric rough paths ⋮ Smooth rough paths, their geometry and algebraic renormalization ⋮ The Sewing lemma for \(0 < \gamma \leq 1\) ⋮ Optimal extension to Sobolev rough paths ⋮ Quasi-geometric rough paths and rough change of variable formula ⋮ Paracontrolled calculus and regularity structures I. ⋮ Paracontrolled calculus and regularity structures. II ⋮ Constructing general rough differential equations through flow approximations

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