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Item Details
Title: TOPICS IN THE CONSTRUCTIVE THEORY OF COUNTABLE MARKOV CHAINS
By: G. Fayolle, V. A. Malyshev, M. V. Menshikov
Format: Hardback

List price: £110.00


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ISBN 10: 0521461979
ISBN 13: 9780521461979
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 18 May, 1995
Pages: 176
Description: Provides methods of analysing Markov chains based on Lyapunov functions.
Synopsis: 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 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.
Illustrations: 17 b/w illus.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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