Stochastic analysis and related topics : proceedings of a workshop held in Silivri, Turkey, July 7-9, 1986
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Bibliographic Information
Stochastic analysis and related topics : proceedings of a workshop held in Silivri, Turkey, July 7-9, 1986
（Lecture notes in mathematics, 1316 . Institut de Mathématiques,
Springer-Verlag, c1988
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Includes bibliographies
"Subseries: Institut de Mathématiques, Université de Strasbourg" -- t.p
Description and Table of Contents
Description
The Silvri Workshop was divided into a short summer school and a working conference, producing lectures and research papers on recent developments in stochastic analysis on Wiener space. The topics treated in the lectures relate to the Malliavin calculus, the Skorohod integral and nonlinear functionals of white noise. Most of the research papers are applications of these subjects. This volume addresses researchers and graduate students in stochastic processes and theoretical physics.
Table of Contents
A guide to the stochastic calculus of variations.- Nonclausal stochastic integrals and calculus.- Brownian motion, diffusions and infinite dimensional calculus.- La theorie des distributions en dimension quelconque et l'integration stochastique.- An ito formula for processes with values in an abstract Wiener space.- Some comments on the filtering of diffusions and the malliavin calculus.- Approximation of stochastic differential equations and application of the stochastic calculus of variations to the rate of convergence.- Brownian motion and harmonic forms.- An extension of ventsel-freidlin estimates.- Uniqueness of the solutions of the filtering equation with observations on a riemannian symmetric space.- Majoration a priori des solutions d'equations differentielles stochastiques stables.- A filtering formula for a non-linear system having a continuous observation, and a discrete observation at random times.
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