Provides methods of analysing Markov chains based on Lyapunov functions.
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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 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.
Review of the hardback: 'The monograph is an excellent piece of work that gives an original and alternative view on countable Markov chains.' Mededelingen van het Wiskundig Genootschap
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Paperback or Softback. Etat : New. Topics in the Constructive Theory of Countable Markov Chains. Book. N° de réf. du vendeur BBS-9780521064477
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Paperback. Etat : new. Paperback. 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. The main point of the present book is to provide methods of analysing Markov chains based on Lyapunov functions. 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521064477
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Etat : New. Provides methods of analysing Markov chains based on Lyapunov functions. Num Pages: 180 pages, 17 b/w illus. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 11. Weight in Grams: 270. . 2008. 1st Edition. paperback. . . . . N° de réf. du vendeur V9780521064477
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