Introduction to stochastic analysis and Malliavin calculus

Description

"This volume presents an introductory course on differential stochastic equations and Malliavin calculus. The material of the book has grown from a series of courses delivered at the Scuola Normale Superiore di Pisa (and also at the Trento and Funchal Universities) and has been refined over several years of teaching experience in the subject." "The lectures are addressed to a reader who is familiar with basic notions of measure theory and functional analysis." "The first part is devoted to the Gaussian measure in a separable Hilbert space, the Malliavin derivative, the construction of the Brownian motion and Ito's formula. The second part deals with the differential stochastic equations and their connection with parabolic problems. The third part contains an introduction to the Malliavin calculus." "Several applications are given, notably the Feynman-Kac, Girsanov and Clark-Ocone formulae, the Krylov-Bogoliubov and Von Neumann theorems."--Jacket.

Subjects

Links

• Table of contents
• Inhaltsverzeichnis

Other Editions

• Introduction to stochastic analysis and Malliavin calculusEdizioni della Normale2007-01-01
• Introduction to Stochastic Analysis and Malliavin CalculusScuola Normale Superiore2014-01-01
• Introduction to Stochastic Analysis and Malliavin CalculusPaperbackEdizioni della Normale2014-06-30