From the heat measure to the pinned Wiener measure on loop groups
DOI10.1016/j.bulsci.2011.07.012zbMath1237.58013OpenAlexW2055010004MaRDI QIDQ645939
Publication date: 11 November 2011
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2011.07.012
Brownian motion (60J65) Variational problems in a geometric measure-theoretic setting (49Q20) Loop groups and related constructions, group-theoretic treatment (22E67) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)
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Cites Work
- Unnamed Item
- On the optimal mapping of distributions
- Integration by parts and quasi-invariance for heat kernel measures on loop groups
- The geometry of optimal transportation
- Monge-Kantorovitch measure transportation and Monge-Ampère equation on Wiener space
- Transportation cost inequalities on path and loop groups
- Absolute continuity of heat kernel measure with pinned Wiener measure on loop groups
- Sobolev spaces over loop groups
- Logarithmic Sobolev inequalities for pinned loop groups
- Hamilton-Jacobi semi-groups in infinite dimensional spaces
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Equivalence of heat kernel measure and pinned Wiener measure on loop groups
- Polar factorization and monotone rearrangement of vector‐valued functions
- Optimal Transport
- Polar factorization of maps on Riemannian manifolds
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