TY - BOOK AU - Williams,David ED - SpringerLink (Online service) TI - Stochastic Integrals: Proceedings of the LMS Durham Symposium, July 7 – 17, 1980 T2 - Lecture Notes in Mathematics, SN - 9783540386131 AV - QA273.A1-274.9 U1 - 519.2 23 PY - 1981/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Distribution (Probability theory) KW - Probability Theory and Stochastic Processes N1 - “To begin at the beginning: …” -- Stochastic integrals: Basic theory -- Stochastic integration and discontinuous martingales -- Martingales, the Malliavin calculus and Hörmander's theorem -- On a representation of local martingale additive functionals of symmetric diffusions -- Set-parametered martingales and multiple stochastic integration -- Generalized ornstein — Uhlenbeck processes as limits of interacting systems -- Weak and strong solutions of stochastic differential equations: Existence and stability -- On the decomposition of solutions of stochastic differential equations -- A differential geometric formalism for the ito calculus -- Homogenization and stochastic parallel displacement -- Bessel processes and infinitely divisible laws -- Euclidean quantum mechanics and stochastic integrals -- The malliavin calculus and its applications -- The probability functionals (Onsager-machlup functions) of diffusion processes -- Ito and girsanov formulae for two parameter processes -- Lp-inequalities for two-parameter martingales -- Dirichlet processes -- Brownian motion, negative curvature, and harmonic maps -- Local behaviour of hilbert space valued stochastic integrals and the continuity of mild solutions of stochastic evolution equations -- Some markov processes and markov fields in quantum theory, group theory, hydrodynamics and C*-algebras UR - http://dx.doi.org/10.1007/BFb0088719 ER -