Bültmann & Gerriets
Stochastic Integrals
Proceedings of the LMS Durham Symposium, July 7-17, 1980
von D. Williams
Verlag: Springer Berlin Heidelberg
Reihe: Lecture Notes in Mathematics Nr. 851
Hardcover
ISBN: 978-3-540-10690-6
Auflage: 1981
Erschienen am 01.04.1981
Sprache: Englisch
Format: 235 mm [H] x 155 mm [B] x 30 mm [T]
Gewicht: 832 Gramm
Umfang: 556 Seiten

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Klappentext
Inhaltsverzeichnis

¿To begin at the beginning: ¿¿.- Stochastic integrals: Basic theory.- Stochastic integration and discontinuous martingales.- Martingales, the Malliavin calculus and H¿rmander'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.



"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.


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