On the definition of a solution to a rough differential equation
DOI10.5802/afst.1681zbMath1497.60130arXiv1803.06479OpenAlexW4289060208WikidataQ115159086 ScholiaQ115159086MaRDI QIDQ2053312
Publication date: 29 November 2021
Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.06479
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential equations and systems with randomness (34F05) Chaos control for problems involving ordinary differential equations (34H10) Rough paths (60L20)
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Cites Work
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- On the integration of weakly geometric rough paths
- Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula
- Ramification of rough paths
- Differential equations driven by rough paths. Ecole d'Eté de Probabilités de Saint-Flour XXXIV -- 2004. Lectures given at the 34th probability summer school, July 6--24, 2004.
- Flows driven by rough paths
- Differential equations driven by rough signals
- Hopf algebras, renormalization and noncommutative geometry
- Controlling rough paths
- Algebraic structures of B-series
- The non-linear sewing lemma. II. Lipschitz continuous formulation
- Diffusion processes and stochastic calculus
- Geometric versus non-geometric rough paths
- Fourier Analysis and Nonlinear Partial Differential Equations
- Differential Equations Driven by Rough Paths: An Approach via Discrete Approximation
- Flows Driven by Banach Space-Valued Rough Paths
- Dimension-free Euler estimates of rough differential equations
- A course on rough paths. With an introduction to regularity structures
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