Stochastic calculus of variations on complex line bundle and construction of unitarizing measures for the Poincaré disk

DOI10.1016/j.jfa.2008.03.011zbMath1210.60055OpenAlexW2089335526MaRDI QIDQ1004366

Paul Malliavin, Ana Bela Cruzeiro

Publication date: 3 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.03.011

zbMATH Keywords

Malliavin Calculus in complex geometryunitarizing measure

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (5)

Lifted infinitesimal holomorphic representation for the \(n\)-dimensional complex hyperbolic ball and for Cartan domains of type I ⋮ Ornstein-Uhlenbeck operators and holomorphic representations for a class of bounded symmetric domains ⋮ Identities for vector fields in the infinitesimal representation of the symplectic group into the Siegel disk of complex symmetric matrices ⋮ Ornstein-Uhlenbeck operators and unitarizing measures in the Poincaré disk ⋮ Invariant or quasi-invariant probability measures for infinite dimensional groups. II: Unitarizing measures or Berezinian measures

Cites Work

• Large deviations and the Malliavin calculus
• 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
• Asymptotic ergodicity of the process of conditional law in some problem of nonlinear filtering
• Stochastic analysis on the path space of a Riemannian manifold. I: Markovian stochastic calculus
• Renormalized differential geometry on path space: Structural equation, curvature
• Unnamed Item
• Unnamed Item

This page was built for publication: Stochastic calculus of variations on complex line bundle and construction of unitarizing measures for the Poincaré disk