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TitleStochastic Analysis and Related Topics [electronic resource] : Proceedings of a Workshop held in Silivri, Turkey, July 7-9, 1986 / edited by Hayri Korezlioglu, Ali Sรผleyman Ustunel
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1988
Connect tohttp://dx.doi.org/10.1007/BFb0081928
Descript IV, 371 p. online resource

SUMMARY

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


CONTENT

A guide to the stochastic calculus of variations -- Nonclausal stochastic integrals and calculus -- Brownian motion, diffusions and infinite dimensional calculus -- La thรฉorie des distributions en dimension quelconque et l'intรฉgration 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'รฉquations diffรฉrentielles stochastiques stables -- A filtering formula for a non-linear system having a continuous observation, and a discrete observation at random times


Mathematics Mathematical analysis Analysis (Mathematics) Probabilities Physics Mathematics Probability Theory and Stochastic Processes Analysis Mathematical Methods in Physics Numerical and Computational Physics



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