The Nile on eBay FREE SHIPPING UK WIDE Introduction to Malliavin Calculus by David Nualart, Eulalia Nualart
This textbook offers a compact introduction to Malliavin calculus. It covers recent applications, and includes a self-contained presentation of preliminary material on Brownian motion and stochastic calculus. Accessible to non-experts, graduate students and researchers can use this book to master the core techniques necessary for further study.
FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description
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.
Author Biography
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.
Table of Contents
Preface; 1. Brownian motion; 2. Stochastic calculus; 3. Derivative and divergence operators; 4. Wiener chaos; 5. Ornstein-Uhlenbeck semigroup; 6. Stochastic integral representations; 7. Study of densities; 8. Normal approximations; 9. Jump processes; 10. Malliavin calculus for jump processes I; 11. Malliavin calculus for jump processes II; Appendix A. Basics of stochastic processes; References; Index.
Review
'This book is a delightful and self-contained introduction to stochastic and Malliavin calculus that will guide the graduate students in probability theory from the basics of the theory to the borders of contemporary research. It is a must read written by two globally recognized experts!' Fabrice Baudoin, University of Connecticut'Malliavin calculus has seen a great revival of interest in recent years, after the discovery about ten years ago that Stein's method for probabilistic approximation and Malliavin calculus fit together admirably well. Such an interaction has led to some remarkable limit theorems for Gaussian, Poisson and Rademacher functionals. This monograph, written by two internationally renowned specialists of the field, provides a concise, self-contained and very pleasant exposition of different aspects of this rich and recent line of research. For sure, it is destined to quickly become a must-have reference book!' Ivan Nourdin, University of Luxembourg'The book provides a concise and self-contained exposition of the subject including recent developments.' Maria Gordina, MathSciNet'The book is written very clearly and precisely, and will be useful to anyone who wants to study the Malliavin calculus and its applications at the introductory level and then more deeply, as well as those who are ready to apply these results in their research. The book can be used to give lectures for graduate students.' Yuliya S. Mishura, zbMath
Promotional
A compact introduction to this active and powerful area of research, combining basic theory, core techniques, and recent applications.
Review Quote
Advance praise: 'This book is a delightful and self-contained introduction to stochastic and Malliavin calculus that will guide the graduate students in probability theory from the basics of the theory to the borders of contemporary research. It is a must read written by two globally recognized experts!' Fabrice Baudoin, University of Connecticut
Promotional "Headline"
A compact introduction to this active and powerful area of research, combining basic theory, core techniques, and recent applications.
Description for Bookstore
This textbook offers a compact introduction to Malliavin calculus. It covers recent applications, and includes a self-contained presentation of preliminary material on Brownian motion and stochastic calculus. Accessible to non-experts, graduate students and researchers can use this book to master the core techniques necessary for further study.
Description for Library
This textbook offers a compact introduction to Malliavin calculus. It covers recent applications, and includes a self-contained presentation of preliminary material on Brownian motion and stochastic calculus. Accessible to non-experts, graduate students and researchers can use this book to master the core techniques necessary for further study.
Details ISBN1107611989 Author Eulalia Nualart Publisher Cambridge University Press Year 2018 ISBN-10 1107611989 ISBN-13 9781107611986 Format Paperback Pages 246 Media Book Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom DEWEY 519.23 Affiliation Universitat Pompeu Fabra, Barcelona Publication Date 2018-09-27 Language English Series Number 9 UK Release Date 2018-09-27 AU Release Date 2018-09-27 NZ Release Date 2018-09-27 Series Institute of Mathematical Statistics Textbooks Alternative 9781107039124 Audience Postgraduate, Research & Scholarly We've got this
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