Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (16 chapters)
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Discrete-Parameter Random Fields
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Continuous-Parameter Random Fields
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Appendices
Reviews
From the reviews:
"This book presents an updated and comprehensible account on the theory of multiparameter stochastic processes. … This book is certainly a basic reference for subjects like multiparameter martingales and potential theory for the Brownian sheet and several Markov processes. It can be useful for researchers who would like to learn the basis and recent developments of these subjects. The book is self-contained … . In spite of the technical character of the subject, reading this book is a very pleasant and enriching experience." (David Nualart, Mathematical Reviews, Issue 2004 a)
"This book aims to construct a general framework for the analysis of a large class of random fields, also known as multiparameter processes. A great part of one-parameter theory is also included, with the goal to keep the book self-contained. … The book contains a lot of supplementary exercises, extended theoretical appendices and is useful both for highly qualified specialists and for advanced graduate students." (Yu. S. Mishura, Zentralblatt Math, Vol. 1005, 2003)
"The present book is the first one presenting a general treatment of random fields. … The book can be recommended not only to probabilists but to anyone interested in the applications of probability within other areas of mathematics, particularly in analysis." (P. Révész, Internationale Mathematische Nachrichten, Vol. 57 (192), 2003)
Authors and Affiliations
Bibliographic Information
Book Title: Multiparameter Processes
Book Subtitle: An Introduction to Random Fields
Authors: Davar Khoshnevisan
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/b97363
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York 2002
Hardcover ISBN: 978-0-387-95459-2Published: 10 July 2002
Softcover ISBN: 978-1-4419-3009-5Published: 11 August 2011
eBook ISBN: 978-0-387-21631-7Published: 10 April 2006
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XX, 584
Number of Illustrations: 8 b/w illustrations
Topics: Probability Theory and Stochastic Processes, Functional Analysis