Dmitrii Silvestrov Book order (chronological)

Focusing on advanced mathematical concepts, this volume delves into limit and ergodic theorems related to various stochastic processes, including Markov chains and semi-Markov processes. It explores both regularly and singularly perturbed systems, as well as multi-alternating regenerative processes influenced by semi-Markov modulation. This comprehensive study is essential for researchers and practitioners interested in the intricate behaviors of these processes and their applications in probability theory.

Focusing on advanced mathematical concepts, this first volume explores limit and ergodic theorems related to regularly and singularly perturbed Markov chains, semi-Markov processes, and multi-alternating regenerative processes influenced by semi-Markov modulation. It provides a comprehensive analysis suitable for researchers and practitioners in the field, laying a foundation for the second volume that will further develop these themes.