00997nam a2200277 i 450099100346555970753620021217151343.0961024s1976 it a 000 0 ita db11814305-39ule_instLE00301152ExLDip.to Biologiaeng541.369Dawson, Bernard Ernest67577Energia nella chimica /B. E. DawsonBologna :Zanichelli,c197654 p. :ill. ;24 cmArgomenti scientifici Zanichelli ;6Orig. tit.: Energy in chemistry : an approach to thermodynamicsChemical equilibriumThermodynamics.b1181430527-04-1718-12-02991003465559707536LE003 541.3 DAW01.01 (1976)12003000027259le003-E0.00-l- 00000.i1206366618-12-02Energia nella chimica376841UNISALENTOle00301-01-96ma -itait 0103909nam 22004935 450 991103504660332120251028120433.0978303189315510.1007/978-3-031-89315-5(CKB)41826979500041(MiAaPQ)EBC32378988(Au-PeEL)EBL32378988(DE-He213)978-3-031-89315-5(EXLCZ)994182697950004120251028d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierCoupling and Ergodic Theorems for Semi-Markov-Type Processes II Semi-Markov Processes and Multi-Alternating Regenerative Processes with Semi-Markov Modulation /by Dmitrii Silvestrov1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Springer,2025.1 online resource (853 pages)Mathematics and Statistics Series9783031893148 Preface -- Introduction -- Summary of Ergodic Theorems for Regenerative Processes -- Modifications of Hitting Times -- Birth-Death-Type Processes -- Semi-Markov Processes with Discrete State Spaces and Embedded Regenerative Processes -- Ergodic Theorems for Queuing Systems -- Semi-Markov Processes with General State Spaces with Atoms -- Semi-Markov Processes with General State Spaces and Distributional Atoms -- Semi-Markov Processes with General State Spaces and One-Step Artificial Regeneration -- Semi-Markov Processes with General State Spaces and Multi-Step Artificial Regeneration -- Multi-Alternating Regenerative Processes with Semi-Markov Modulation -- Multi-Alternating Regenerative Processes Modulating by Uniformly Recurrent Semi-Markov Processes -- Appendix A. Methodological and Bibliographical Notes -- References -- Index.Ergodic theorems are a cornerstone of the theory of stochastic processes and their applications. This book is the second volume of a two-volume monograph dedicated to ergodic theorems. While the first volume centers on Markovian and regenerative models, the second volume extends the scope to semi-Markov processes and multi-alternating regenerative processes with semi-Markov modulation and delves into ergodic theorems with explicit power and exponential upper bounds for convergence rates for such processes. The book offers a powerful and constructive probabilistic framework by employing coupling ergodic theorems presented in the first volume in conjunction with the method of artificial regeneration and test functions. Theoretical findings are illustrated with applications to semi-Markov Monte Carlo algorithms and perturbed queuing systems featuring explicit convergence rate bounds. Many results presented in the book are groundbreaking, appearing in publication for the first time. Designed with researchers and advanced students in mind, the content is thoughtfully structured by complexity, making it suitable for self-study or as a resource for upper-level coursework. Each chapter is self-contained and complemented by a comprehensive bibliography, ensuring its value as a long-lasting reference. An essential resource for theoretical and applied research, this book significantly contributes to the field of stochastic processes and will remain a key reference for years to come. .Mathematics and Statistics SeriesProbabilitiesApplied ProbabilityProbability TheoryProbabilities.Applied Probability.Probability Theory.519.233Silvestrov Dmitrii767380MiAaPQMiAaPQMiAaPQBOOK9911035046603321Coupling and Ergodic Theorems for Semi-Markov-Type Processes II4451852UNINA