{"product_id":"9783031893148","title":"Coupling and Ergodic Theorems for Semi-Markov-Type Processes II: Semi-Markov Processes and Multi-Alternating Regenerative Processes with Semi-Markov Modulation","description":"\u003ch1\u003eCoupling and Ergodic Theorems for Semi-Markov-Type Processes II\u003c\/h1\u003e\u003ch2\u003eSemi-Markov Processes and Multi-Alternating Regenerative Processes with Semi-Markov Modulation\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003eContributors:\u003c\/strong\u003e Silvestrov, Dmitrii\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp class=\"MsoNormal\"\u003e\u003cspan style=\"mso-ascii-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri; mso-ansi-language: EN-IN;\"\u003eErgodic theorems are a cornerstone of the theory of stochastic processes and their applications. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan style=\"mso-ascii-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri; mso-ansi-language: EN-IN;\"\u003eThis 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.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan style=\"mso-ascii-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri; mso-ansi-language: EN-IN;\"\u003eThe 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.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan style=\"mso-ascii-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri; mso-ansi-language: EN-IN;\"\u003eDesigned 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. \u003c\/span\u003e\u003c\/p\u003e\u003ch3\u003eBook Details\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublisher:\u003c\/strong\u003e Springer\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e 2025-10-29\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFormat:\u003c\/strong\u003e Hardcover\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eISBN-13:\u003c\/strong\u003e 9783031893148\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePages:\u003c\/strong\u003e 560\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":44317970595980,"sku":"9783031893148","price":197.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031893148.jpg?v=1768939247","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031893148","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}