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Suitable for beginning graduate students, this book discusses the theory of Markov chains, drawing on the works of Kolmogorov and Feller, and bringing the tools of functional analysis into play in a way that is not done elsewhere. The author uses numerous examples and illustrations to demonstrate the theory.
Written by a leading expert in the field, this book presents the classical theory of convergence of semigroups and then uses real examples to show how it can be applied to models of mathematical biology as well as other branches of mathematics.
This text is designed both for students of probability and stochastic processes, and for students of functional analysis. Numerous standard and non-standard examples and exercises make it suitable for both a textbook for a course as well as for self-study.
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