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Stochastic Integrals: Proceedings of the LMS Durham Symposium, July 7-17, 1980 (Lecture Notes in Mathematics, 851, Band 851) - Softcover

 
9783540106906: Stochastic Integrals: Proceedings of the LMS Durham Symposium, July 7-17, 1980 (Lecture Notes in Mathematics, 851, Band 851)

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.

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Über die Autorin bzw. den Autor

David Williams is the translator of Dubravka Ugresi?'s Karaoke Culture (2011) and Miljenko Jergovi?'s Mama Leone (2012). He holds a doctorate in Comparative Literature from the University of Auckland, New Zealand, has taught at the Universities of East Sarajevo, Bosnia and Herzegovina; Belgrade and Novi Sad, Serbia; and Auckland, New Zealand, and held postdoctoral fellowships at the Universities of Leipzig and Konstanz, Germany.

Von der hinteren Coverseite

"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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