Provides methods of analysing Markov chains based on Lyapunov functions. Num Pages: 176 pages, 17 b/w illus. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 161 x 236 x 19. Weight in Grams: 426. . 1995. hardcover. . . . .

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Bibliographic Details

Title: Topics in the Constructive Theory of Countable Markov Chains
Publisher: Cambridge University Press
Publication Date: 1995
Language: English
ISBN 10: 0521461979
ISBN 13: 9780521461979
Binding: Hardcover
Condition: New

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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 modeling 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. Here, the authors provide a self-contained introduction to the theory and details of how the required Lyapunov functions are constructed in various situations.

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Rocquencourt

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