Brownian measures on Jordan-Virasoro curves associated to the Weil-Petersson metric

DOI10.1016/j.jfa.2010.08.002zbMath1213.60129OpenAlexW2117062513MaRDI QIDQ609347

Anton Thalmaier, Hélène Airault, Paul Malliavin

Publication date: 30 November 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.08.002

zbMATH Keywords

Jordan curvesshape representationWeil-Petersson metricgroup of diffeomorphismsconformal weldingDouady-Earle extensionKähler Brownian motion

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (3)

Random conformal weldings ⋮ Möbius transformations and extended diffusion above the homeomorphisms of the disk ⋮ The weighted composition operators as intertwining operators for holomorphic Lie group representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Evolution of conformal maps with quasiconformal extensions
• Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry
• Random curves by conformal welding
• Heat kernel analysis on infinite-dimensional Heisenberg groups
• Quasiconformally homogeneous domains
• A comparison theorem for solutions of stochastic differential equations and its applications
• Geometric approach to discrete series of unirreps for Vir
• Realization of Virasoro unitarizing measures on the set of Jordan curves.
• Stochastic flows for SDEs with non-Lipschitz coefficient.
• A class of stochastic differential equations with non-Lipschitzian coefficients: Pathwise uniqueness and no explosion
• Removability theorems for Sobolev functions and quasiconformal maps
• Unitarizing probability measures for representations of Virasoro algebra
• Analyticity of intersection exponents for planar Brownian motion
• Conformally natural extension of homeomorphisms of the circle
• 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
• Integration of Brownian vector fields.
• Canonical Brownian motion on the space of univalent functions and resolution of Beltrami equations by a continuity method along stochastic flows
• On Malliavin measures, SLE, and CFT
• 2D-shape analysis using conformal mapping
• Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group
• Matching univalent functions and conformal welding
• Extensions with bounded ∂-derivative
• The Poincaré Metric of Plane Domains
• On conformal welding homeomorphisms associated to Jordan curves
• The canonic diffusion above the diffeomorphism group of the circle
• On Square Integrable Martingales

This page was built for publication: Brownian measures on Jordan-Virasoro curves associated to the Weil-Petersson metric