Introduction to Malliavin Calculus

David Nualart · Eulalia Nualart

sep 2018 · Institute of Mathematical Statistics Textbooks Boek 9 · Cambridge University Press

E-boek

249

Pagina's

Beoordelingen en reviews worden niet geverifieerd. Meer informatie

Over dit e-boek

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.

Over de auteur

David Nualart is the Black-Babcock Distinguished Professor in the Department of Mathematics at the University of Kansas. He has published around 300 scientific articles in the field of probability and stochastic processes, and he is the author of the fundamental monograph The Malliavin Calculus and Related Topics (2005). He has served on the editorial board of leading journals in probability, and from 2006 to 2008 was the editor-in-chief of Electronic Communications in Probability. He was elected Fellow of the Institute of Mathematical Statistics in 1997 and he received the Higuchi Award on Basic Sciences in 2015.

Eulàlia Nualart is Associate Professor at Universitat Pompeu Fabra, Barcelona and a Barcelona Graduate School of Economics (GSE) Affiliated Professor. She is also the Deputy Director of the Barcelona GSE Master Program in Economics. Her research interests include stochastic analysis, Malliavin calculus, fractional Brownian motion, and Lévy processes. She has publications in top journals such as Stochastic Processes and their Applications, Annals of Probability, and the Journal of Functional Analysis. In 2013 she was awarded a Marie Curie Career Integration Grant.

Dit e-boek beoordelen

Geef ons je mening.

Informatie over lezen

Smartphones en tablets

Installeer de Google Play Boeken-app voor Android en iPad/iPhone. De app wordt automatisch gesynchroniseerd met je account en met de app kun je online of offline lezen, waar je ook bent.

Laptops en computers

Via de webbrowser van je computer kun je luisteren naar audioboeken die je hebt gekocht op Google Play.

eReaders en andere apparaten

Als je wilt lezen op e-ink-apparaten zoals e-readers van Kobo, moet je een bestand downloaden en overzetten naar je apparaat. Volg de gedetailleerde instructies in het Helpcentrum om de bestanden over te zetten op ondersteunde e-readers.

Illegale content melden