Introduction to Malliavin Calculus
Introduction to Malliavin Calculus (Institute of Mathematical Statistics Textbooks)
by David Nualart
English | 2018 | ISBN: 1107039126 | 250 Pages | PDF | 1 MB
by David Nualart
English | 2018 | ISBN: 1107039126 | 250 Pages | PDF | 1 MB
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.