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OverviewFull Product DetailsAuthor: G. George Yin , Chao ZhuPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2010 ed. Volume: 63 Dimensions: Width: 15.50cm , Height: 2.10cm , Length: 23.50cm Weight: 0.635kg ISBN: 9781461424703ISBN 10: 1461424704 Pages: 398 Publication Date: 25 February 2012 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of Contentsand Motivation.- Basic Properties, Recurrence, Ergodicity.- Switching Diffusion.- Recurrence.- Ergodicity.- Numerical Solutions and Approximation.- Numerical Approximation.- Numerical Approximation to Invariant Measures.- Stability.- Stability.- Stability of Switching ODEs.- Invariance Principles.- Two-time-scale Modeling and Applications.- Positive Recurrence: Weakly Connected Ergodic Classes.- Stochastic Volatility Using Regime-Switching Diffusions.- Two-Time-Scale Switching Jump Diffusions.ReviewsFrom the reviews: “The book Hybrid Switching Diffusions provides a remarkable coverage of up-to-date, cutting-edge research results on switching diffusions. … As I read through the book, I was impressed by the vast number of topics covered as well as the level of technical details. … provides a thorough, up-to-date development of regime-switching diffusions. It provides a valuable reference for applied mathematicians and control scientists. The book can also be useful to researchers in other application fields who seek suitable mathematical models that may fit their own systems.” (Ruihua Liu, IEEE Control Systems Magazine, Vol. 30, October, 2010) “This book is written for scientists, engineers, and financial analysts interested in processes described by the coexistence of discrete events and continuous dynamics. Among the topics treated are existence and uniqueness of solutions of switching diffusion equations, regularity, well posedness, recurrence, ergodicity, stability, numerical methods, and two-time-scale processes.” (IEEE Control Systems Magazine, Vol. 30, June, 2010) From the reviews: The book Hybrid Switching Diffusions provides a remarkable coverage of up-to-date, cutting-edge research results on switching diffusions. As I read through the book, I was impressed by the vast number of topics covered as well as the level of technical details. provides a thorough, up-to-date development of regime-switching diffusions. It provides a valuable reference for applied mathematicians and control scientists. The book can also be useful to researchers in other application fields who seek suitable mathematical models that may fit their own systems. (Ruihua Liu, IEEE Control Systems Magazine, Vol. 30, October, 2010) This book is written for scientists, engineers, and financial analysts interested in processes described by the coexistence of discrete events and continuous dynamics. Among the topics treated are existence and uniqueness of solutions of switching diffusion equations, regularity, well posedness, recurrence, ergodicity, stability, numerical methods, and two-time-scale processes. (IEEE Control Systems Magazine, Vol. 30, June, 2010) Author InformationTab Content 6Author Website:Countries AvailableAll regions |