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＜電子ブック＞
Multiparameter Processes : An Introduction to Random Fields / by Davar Khoshnevisan
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2002.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2002
本文言語	英語
大きさ	XX, 584 p. 8 illus : online resource
著者標目	*Khoshnevisan, Davar author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Functional analysis FREE:Probability Theory FREE:Functional Analysis
一般注記	Discrete-Parameter Random Fields -- Discrete-Parameter Martingales -- Two Applications in Analysis -- Random Walks -- Multiparameter Walks -- Gaussian Random Variables -- Limit Theorems -- Continuous-Parameter Random Fields -- Continuous-Parameter Martingales -- Constructing Markov Processes -- Generation of Markov Processes -- Probabilistic Potential Theory -- Multiparameter Markov Processes -- The Brownian Sheet and Potential Theory 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 HTTP:URL=https://doi.org/10.1007/b97363

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