Stochastic Analysis and Related Topics II: Proceedings of a Second Workshop held in Silivri, Turkey, July 18–30, 1988

Shinzo Watanabe (auth.), Hayri Korezlioglu, Ali Suleyman Ustunel (eds.)9783540530640, 3540530649, 0387530649

The Second Silivri Workshop functioned as a short summer school and a working conference, producing lecture notes and research papers on recent developments of Stochastic Analysis on Wiener space. The topics of the lectures concern short time asymptotic problems and anticipative stochastic differential equations. Research papers are mostly extensions and applications of the techniques of anticipative stochastic calculus.

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Table of contents :
Short time asymptotic problems in Wiener functional integration theory. Applications to heat kernels and index theorems….Pages 1-62
Applications of anticipating stochastic calculus to stochastic differential equations….Pages 63-105
A new class of distributions on Wiener spaces….Pages 106-121
Some remarks on independence and conditioning on Wiener space….Pages 122-127
Some results on Lipschitzian stochastic differential equations by Dirichlet forms methods….Pages 128-140
On generalized multiple stochastic integrals and multiparameter anticipative calculus….Pages 141-182
Un crochet non-symétrique en calcul stochastique anticipatif….Pages 183-192
Large deviations and the functional Levy’s modulus for invariant diffusions….Pages 193-203
On polar sets for hypoelliptic diffusion processes….Pages 204-212
New results on the Schrödinger semigroups with potentials given by signed smooth measures….Pages 213-243
Linear extrapolation concerning Hilbert valued planar functions….Pages 244-268