1. Restricting the Range. - 1 Summary of chapters 1 and 2. - 2. Inequalities. - 3. Standard transitions. - 4. Recurrence. - 5. Restricting the range. - 6. The Markov property. - 7. The convergence of XJ to X. - 8. The distribution of ?J given XJ. - 9. The joint distribution of {XJ}. - 10. The convergence of QJ to Q. - 11. The distribution of X given XJ. - 2. Restricting the Range; Applications. - 1. Foreword. - 2. The generator. - 3. A theorem of Lévy. - 4. Determining the time scale. - 5. A theorem of Williams. - 6. Transformation of time. - 7. The transient case. - 3. Constructing the General Markov Chain. - 1. Introduction. - 2. The construction. - 3. A process with all states instantaneous and no pseudo jumps. - 4. An example of Kolmogorov. - 5. Slow convergence. - 6. Smith's phenomenon. - 4. Append. - 1. Notation. - 2. Numbering. - 3. Bibliography. - Symbol Finder. Language: English