The accessibility problem for geometric rough differential equations

DOI10.1007/s10883-023-09648-yarXiv2201.12541OpenAlexW4382582444MaRDI QIDQ6186688

Youness Boutaib

Publication date: 9 January 2024

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.12541

zbMATH Keywords

accessibilityorbitsrough pathsrough analysis on manifolds

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Vector distributions (subbundles of the tangent bundles) (58A30) Rough paths (60L20) Global differential geometry (53Cxx)

Cites Work

• Hyperbolic development and inversion of signature
• Ramification of rough paths
• Differential equations driven by rough signals
• Inverting the signature of a path
• Controlling rough paths
• Euler estimates for rough differential equations
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• Physical Brownian motion in a magnetic field as a rough path
• Multidimensional Stochastic Processes as Rough Paths
• Differential Equations Driven by Rough Paths: An Approach via Discrete Approximation
• Rough Paths on Manifolds
• Orbits of Families of Vector Fields and Integrability of Distributions
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