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Introduction

In: Perturbed Semi-Markov Type Processes II

Author

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  • Dmitrii Silvestrov

    (Stockholm University, Department of Mathematics)

Abstract

This book is devoted to the study of ergodic theorems for regularly and singularly perturbed Markov chains, semi-Markov processes, and alternating regenerative processes with semi-Markov modulation. The introduction aims to informally present the main problems, methods, and algorithms that make up the content of the book. We give simple examples, illustrated by figures, and try to show the logic and ideas underlying the methods of asymptotic analysis of perturbed semi-Markov-type processes developed in the book as well as explain the meaning of the results presented in the book. We also describe the content of the book in parts and chapters and provide additional information for potential readers of the book.

Suggested Citation

  • Dmitrii Silvestrov, 2022. "Introduction," Springer Books, in: Perturbed Semi-Markov Type Processes II, chapter 0, pages 1-23, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-92399-0_1
    DOI: 10.1007/978-3-030-92399-0_1
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