Stochastic Integrals

Proceedings of the LMS Durham Symposium, July 7-17, 1980
Herausgegeben:Williams, D.

• Broschiertes Buch

Produktbeschreibung

¿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.

Produktdetails

• Lecture Notes in Mathematics 851
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-10690-6
• 1981
• Seitenzahl: 556
• Erscheinungstermin: 1. April 1981
• Englisch
• Abmessung: 235mm x 155mm x 30mm
• Gewicht: 872g
• ISBN-13: 9783540106906
• ISBN-10: 3540106901
• Artikelnr.: 23569718

Inhaltsangabe

"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.