Stochastic calculus of variations for the diffeomorphisms group

DOI10.1016/j.bulsci.2011.05.001zbMath1226.93139OpenAlexW2033834011MaRDI QIDQ645937

Ana Bela Cruzeiro

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.2011.05.001

zbMATH Keywords

volume preserving diffeomorphismsstochastic calculus of variationsBrownian motions

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Optimal stochastic control (93E20)

Cites Work

• Large deviations and the Malliavin calculus
• Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation
• Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry
• Corrigendum to ``Nonergodicity of Euler fluid dynamics on tori versus positivity of the Arnold-Ricci tensor
• Non perturbative construction of invariant measure through confinement by curvature
• Formules de la moyenne, calcul de perturbations et théoremes d'annulation pour les formes harmoniques
• Stochastic analysis on the path space of a Riemannian manifold. I: Markovian stochastic calculus
• 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
• Renormalized stochastic calculus of variations for a renormalized infinite-dimensional Brownian motion

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