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Quasi-regular Dirichlet forms on Riemannian path and loop spaces
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Published/Copyright:
December 15, 2008
Abstract
A large class of local Dirichlet forms are constructed on path spaces over noncompact Riemannian manifolds. Under reasonable conditions on curvatures and diffusion coeffcients, these Dirichlet forms are quasi-regular and thus, the corresponding diffusion processes are well-constructed by the theory of Dirichlet forms. Extensions to pinned path (loop) spaces are also derived.
Received: 2006-04-19
Accepted: 2007-06-05
Published Online: 2008-12-15
Published in Print: 2008-November
© de Gruyter 2008
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- Sharp results on the integrability of the derivative of an interpolating Blaschke product
- The Gauss map of pseudo-algebraic minimal surfaces
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Articles in the same Issue
- Inequalities for Euler's gamma function
- Integers without divisors from a fixed arithmetic progression
- Sharp results on the integrability of the derivative of an interpolating Blaschke product
- The Gauss map of pseudo-algebraic minimal surfaces
- Gödel incompleteness in AF C*-algebras
- Quasi-regular Dirichlet forms on Riemannian path and loop spaces
- Divided differences and generalized Taylor series
- A regularity result for a class of degenerate Yang-Mills connections in critical dimensions
