Solving stochastic differential equations on \(\text{Homeo}(S^1\))
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Publication:1888791
DOI10.1016/j.jfa.2003.09.007zbMath1073.58027OpenAlexW2017360670MaRDI QIDQ1888791
Publication date: 29 November 2004
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2003.09.007
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Ordinary differential equations and systems with randomness (34F05) Diffusion processes and stochastic analysis on manifolds (58J65)
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Cites Work
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- Representations of the Virasoro algebra by the orbit method
- Stochastic flows acting on Schwartz distributions
- A class of stochastic differential equations with non-Lipschitzian coefficients: Pathwise uniqueness and no explosion
- Canonical Brownian motion on the diffeomorphism group of the circle
- Modulus of continuity of the canonic Brownian motion ``on the group of diffeomorphisms of the circle
- Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
- The canonic diffusion above the diffeomorphism group of the circle
- The cohomologies of the lie algebra of the vector fields in a circle
- Stochastic Equations in Infinite Dimensions