TY - GEN AU - Nualart, David AU - Nualart, Eulalia TI - Introduction to Malliavin calculus SN - 9781107611986 U1 - 519.23 PY - 2018/// CY - Cambridge PB - Cambridge University Press KW - Mathematics KW - Malliavin Calculus KW - Stochastic Analysis KW - Derivatives- Mathematics N1 - Includes bibliographical references and index N2 - 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 ER -