Planarly branched rough paths and rough differential equations on homogeneous spaces

DOI10.1016/j.jde.2020.06.058zbMath1467.60088arXiv1804.08515OpenAlexW2799174574MaRDI QIDQ2202268

Dominique Manchon, Charles Curry, Hans Z. Munthe-Kaas, Kurusch Ebrahimi-Fard

Publication date: 18 September 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08515

zbMATH Keywords

homogeneous spacesHopf algebrasrough pathsrough differential equationsLie-Butcher seriespost-Lie algebras

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear ordinary differential equations and systems (34A34) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15) Connections of Hopf algebras with combinatorics (16T30) Rough paths (60L20)

Related Items (7)

Lie groups of controlled characters of combinatorial Hopf algebras ⋮ Smooth rough paths, their geometry and algebraic renormalization ⋮ The Sewing lemma for \(0 < \gamma \leq 1\) ⋮ Post-symmetric braces and integration of post-Lie algebras ⋮ Quasi-geometric rough paths and rough change of variable formula ⋮ Convergence of Lie group integrators ⋮ Constructing general rough differential equations through flow approximations

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