Introduction to Malliavin calculus

This textbook offers a compact introductory course on Malliavin calculus, an active and powerful area of research. It covers recent applications, including density formulas, regularity of probability laws, central and non-central limit theorems for Gaussian functionals, convergence of densities and...

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Bibliographic Details
Main Authors: Nualart, David, Nualart, Eulalia (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2018
Series:Institute of Mathematical Statistics textbooks
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
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520 |a This textbook offers a compact introductory course on Malliavin calculus, an active and powerful area of research. It covers recent applications, including density formulas, regularity of probability laws, central and non-central limit theorems for Gaussian functionals, convergence of densities and non-central limit theorems for the local time of Brownian motion. The book also includes a self-contained presentation of Brownian motion and stochastic calculus, as well as Lévy processes and stochastic calculus for jump processes. Accessible to non-experts, the book can be used by graduate students and researchers to develop their mastery of the core techniques necessary for further study