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12. Multi-alternating Regenerative Processes Modulated by Uniformly Recurrent Semi-Markov Processes

  • 2025
  • OriginalPaper
  • Chapter
Published in:
Author
Dmitrii Silvestrov
Published in
Coupling and Ergodic Theorems for Semi-Markov-Type Processes II
Publisher
Springer Nature Switzerland

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Abstract

This chapter delves into the intricate world of multi-alternating regenerative processes modulated by uniformly recurrent semi-Markov processes. It begins by establishing ergodic theorems with explicit upper bounds for convergence rates, a crucial aspect for understanding the behavior of these processes. The text then explores the properties of uniformly recurrent semi-Markov processes, providing a solid foundation for the subsequent sections. It also discusses the application of these theorems to semi-Markov renewal processes, highlighting the practical implications of the theoretical findings. Finally, the chapter presents a series of lemmas and theorems that further elucidate the behavior of these processes, culminating in a comprehensive understanding of their dynamics. This detailed exploration makes the chapter a valuable resource for professionals seeking to apply these concepts in real-world scenarios.
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previous chapter Multi-alternating Regenerative Processes with Semi-Markov Modulation
Title
Multi-alternating Regenerative Processes Modulated by Uniformly Recurrent Semi-Markov Processes
Author
Dmitrii Silvestrov
Copyright Year
2025
Book
Coupling and Ergodic Theorems for Semi-Markov-Type Processes II

Print ISBN: 978-3-031-89314-8

Electronic ISBN: 978-3-031-89315-5

Copyright Year: 2025

DOI
https://doi.org/10.1007/978-3-031-89315-5_12

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