Flow equations on spaces of rough paths

DOI10.1006/jfan.1996.3088zbMath0890.58090OpenAlexW2004156334WikidataQ56542631 ScholiaQ56542631MaRDI QIDQ1370396

Zhongmin Qian, Terence J. Lyons

Publication date: 29 June 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3088

zbMATH Keywords

flow equationsrough pathsItô vector field

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10)

Related Items (11)

Pathwise Solutions for Fully Nonlinear First- and Second-Order Partial Differential Equations with Multiplicative Rough Time Dependence ⋮ Constrained rough paths ⋮ Rough path properties for local time of symmetric \(\alpha\) stable process ⋮ Regularity of the Itô-Lyons map ⋮ A Fourier analysis based new look at integration ⋮ Sensitivity of rough differential equations: an approach through the omega lemma ⋮ Differential structure and flow equations on rough path space ⋮ Rough integrators on Banach manifolds ⋮ Asymptotic behavior of differential equations driven by periodic and random processes with slowly decaying correlations ⋮ Rough path analysis via fractional calculus ⋮ Paracontrolled calculus and regularity structures. II

Cites Work

• Equations différentielles sur l'espace de Wiener et formules de Cameron- Martin non-linéaires
• Stochastic calculus in manifolds. With an appendix by P.A. Meyer
• Flow of diffeomorphisms induced by a geometric multiplicative functional
• Stochastic analysis on the path space of a Riemannian manifold. I: Markovian stochastic calculus
• Towards a Riemannian geometry on the path space over a Riemannian manifold
• Quasi-invariance of the Wiener measure on the path space over a compact Riemannian manifold
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