"Discrete-time Markov chains are the basic building blocks for understanding random dynamic phenomena, in preparation for more complex situations. ... the book is a research monograph based largely on the author’s own work. ... The book does ... fill an important niche in the literature on singularly perturbed Markov chains. ... the book will be useful to applied probabilities and engineers who deal with such systems. Other than this, the book’s primary audience is other researchers in singulary perturbed Markov chains." (IEEE Control Systems Magazine, December, 2005)

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