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"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.
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Edition | Availability |
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1
Introduction to Stochastic Analysis and Malliavin Calculus
2014, Scuola Normale Superiore
in English
8876424997 9788876424991
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2
Introduction to Stochastic Analysis and Malliavin Calculus
Jun 30, 2014, Edizioni della Normale
paperback
8876424970 9788876424977
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3
Introduction to Stochastic Analysis and Malliavin Calculus
2009, Scuola Normale Superiore
in English
8876423370 9788876423376
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4
Introduction to stochastic analysis and Malliavin calculus
2007, Edizioni della Normale
in English
8876423133 9788876423130
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