{"product_id":"9783031933028","title":"Probability Theory and Stochastic Modelling: Properties and Applications","description":"\u003ch1\u003eProbability Theory and Stochastic Modelling: Properties and Applications\u003c\/h1\u003e \u003ch2\u003eNguyen, Hai-Dang; Yin, George; Zhu, Chao\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp class=\"MsoNormal\" style=\"mso-margin-top-alt: auto; mso-margin-bottom-alt: auto;\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: major-latin; mso-hansi-theme-font: major-latin; mso-bidi-theme-font: major-latin;\"\u003eThis thoroughly revised and expanded edition presents a comprehensive study of hybrid switching diffusion processes and their wide-ranging applications. These processes, which combine continuous dynamics with discrete events, are essential for modeling complex systems influenced by random environments. They have broad applications in such fields as wireless communications, signal processing, queueing networks, production planning, ecosystems, financial engineering, and large-scale system optimization.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\" style=\"mso-margin-top-alt: auto; mso-margin-bottom-alt: auto;\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: major-latin; mso-hansi-theme-font: major-latin; mso-bidi-theme-font: major-latin;\"\u003eSince the publication of the first edition, the study of hybrid switching diffusions has made significant strides, with new theoretical breakthroughs and emerging applications in ecology and population biology. This edition incorporates these advancements, refining and expanding several key chapters. Notably, it introduces\u003c\/span\u003e\u003c\/p\u003e\n\u003cul type=\"disc\"\u003e\n\u003cli class=\"MsoNormal\" style=\"mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt;\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: major-latin; mso-hansi-theme-font: major-latin; mso-bidi-theme-font: major-latin;\"\u003ea new chapter on switching processes with past dependence, extending the theoretical framework to account for historical states in the switching process.\u003c\/span\u003e\u003c\/li\u003e\n\u003cli class=\"MsoNormal\" style=\"mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt;\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: major-latin; mso-hansi-theme-font: major-latin; mso-bidi-theme-font: major-latin;\"\u003ea new chapter on mathematical biology applications, demonstrating the relevance of hybrid switching diffusions in biological modeling.\u003c\/span\u003e\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: major-latin; mso-hansi-theme-font: major-latin; mso-bidi-theme-font: major-latin;\"\u003eIn addition to covering fundamental topics such as existence and uniqueness of solutions, recurrence, ergodicity, invariant measures, and stability, this edition further explores numerical methods and two-time-scale models.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: major-latin; mso-hansi-theme-font: major-latin; mso-bidi-theme-font: major-latin;\"\u003eThis book is an essential resource for applied mathematicians, probabilists, systems engineers, control scientists, operations researchers, and financial analysts. It is also well-suited for graduate courses on stochastic processes and hybrid systems.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: major-latin; mso-fareast-font-family: 'Times New Roman'; mso-hansi-theme-font: major-latin; mso-bidi-theme-font: major-latin; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\"\u003eThe new edition offers researchers and practitioners a robust and versatile framework, driving significant advancements and broadening the application of stochastic analysis to real-world challenges.\u003c\/span\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2025-11-12\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031933028\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-93303-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 541\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44309451178124,"sku":"9783031933028","price":143.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031933028_8ab7cfb6-5f4f-4007-b3f3-8db5436da392.jpg?v=1772929932","url":"https:\/\/lateknightbooks.com\/products\/9783031933028","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}