Modulus of continuity of the canonic Brownian motion ``on the group of diffeomorphisms of the circle
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Publication:1865331
DOI10.1016/S0022-1236(02)00011-3zbMath1023.60051OpenAlexW1996447039MaRDI QIDQ1865331
Publication date: 26 March 2003
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00011-3
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Applications of functional analysis in quantum physics (46N50) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)
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Cites Work
- Mécanique aléatoire
- De Rham-Hodge-Kodaira operator on loop groups
- On Euler trapezoid formulae
- On isotropic brownian motions
- Asymptotic of the Green's Function of a Riemannian Manifold and Ito's Stochastic Integrals
- The canonic diffusion above the diffeomorphism group of the circle
- The Solution of Algebraic and Transcendental Equations by Iteration
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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