Multiparameter Processes An Introduction to Random Fields /

• Κύριος συγγραφέας: Khoshnevisan, Davar (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2002.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Functional analysis.; Probabilities.; Probability Theory and Stochastic Processes.; Functional Analysis.

 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. 

 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.