Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0968.58027
Léandre, R.
Cover of the Brownian bridge and stochastic symplectic action. (English)
[J] Rev. Math. Phys. 12, No.1, 91-137 (2000). ISSN 0129-055X

The author defines the universal cover for the Brownian bridge of a symplectic manifold. This allows him to make a well-posed definition of a non-trivial functional called stochastic symplectic action. Then in the framework of Morse theory on loop spaces a stochastic Witten complex is constructed over the universal cover of the loop space whose cohomologies are shown to be equal to those of the universal cover.
[Yuri E.Gliklikh (Voronezh)]

MSC 2000:: *58J65 Diffusion processes and stochastic analysis on manifolds
60J65 Brownian motion
60H99 Stochastic analysis
53D05 Symplectic manifolds, general

Keywords: Brownian bridge; symplectic manifolds; universal cover; action functional; Morse theory; cohomology

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]