Table of Contents

Preface; 1. Preliminaries; 2. Irreducible kernels; 3. Transience and recurrence; 4. Embedded renewal processes; 5. Positive and null recurrence; 6. Total variation limit theorems; 7. Miscellaneous limit theorems for Harris recurrent Markov chains; Notes and comments; List of symbols and notation; Bibliography; Index.

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Presents the theory of general irreducible Markov chains and its connection to the Perron-Frobenius theory of nonnegative operators.