Multiparameter Processes: An Introduction to Random Fields (Springer Monographs in Mathematics)

Khoshnevisan, Davar

ISBN 10: 0387954597 / ISBN 13: 9780387954592

Published by Springer, 2002

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Bibliographic Details

• Title: Multiparameter Processes: An Introduction to Random Fields (Springer Monographs in Mathematics)
• Publisher: Springer
• Publication Date: 2002
• Language: English
• ISBN 10: 0387954597
• ISBN 13: 9780387954592
• Binding: Hardcover
• Condition: Like New
• Book Type: book

About this title

Synopsis

Multi-parameter processes extend the existing one-parameter theory in an elegant way and have many applications to other fields in mathematics such as real analysis, functional analysis, group theory, and analytic number theory, to name a few. This book on the vast and rapidly developing subject of random fields is designed for a second graduate course in probability. Recent work on random fields has made it possible to make it an expository subject which interacts with several other areas in mathematics and has enough mathematical depth to be of use to pure as well as applied mathematicians of many backgrounds.

From the Back Cover

Multiparameter processes extend the existing one-parameter theory of random processes in an elegant way, and have found connections to diverse disciplines such as probability theory, real and functional analysis, group theory, analytic number theory, and group renormalization in mathematical physics, to name a few.

This book lays the foundation of aspects of the rapidly-developing subject of random fields, and is designed for a second graduate course in probability and beyond. Its intended audience is pure, as well as applied, mathematicians.

Davar Khoshnevisan is Professor of Mathematics at the University of Utah. His research involves random fields, probabilistic potential theory, and stochastic analysis.