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Topics in the Constructive Theory of Countable Markov Chains - No Information Available

Topics in the Constructive Theory of Countable Markov Chains

By: No Information Available

Hardcover | 17 July 1995

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Markov chains are an important idea, related to random walks, which crops up widely in applied stochastic analysis. They are used, for example, in performance modelling and evaluation of computer networks, queuing networks, and telecommunication systems. The main point of the present book is to provide methods, based on the construction of Lyapunov functions, of determining when a Markov chain is ergodic, null recurrent, or transient. These methods, which are on the whole original and new, can also be extended to the study of questions of stability. Of particular concern are reflected random walks and reflected Brownian motion. The authors provide not only a self-contained introduction to the theory but also details of how the required Lyapunov functions are constructed in various situations.
Industry Reviews
From the hardback review: 'The monograph is an excellent piece of work that gives an original and alternative view on countable Markov chains.' Mededelingen van het Wiskundig Genootschap

Other Editions and Formats

Paperback

Published: 25th August 2008

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