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.

Provides methods of analysing Markov chains based on Lyapunov functions.
Reviews
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



Book Information
ISBN 9780521461979
Author G. Fayolle
Format Hardback
Page Count 176
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 364g
Dimensions(mm) 235mm * 156mm * 15mm