The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique twovolume set presents these topics in a unified setting, thereby building bridges between fields that are rarely studied by the same individuals. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and grouptheoretic concepts in the modeling of physical phenomena. Volume 1 establishes the geometric and statistical foundations required to understand the fundamentals of continuoustime stochastic processes, differential geometry, and the probabilistic foundations of information theory. Volume 2 delves deeper into relationships between these topics, including stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statistical analysis, and error propagation on Lie groups. Key features and topics of Volume 1 include: the author reviews stochastic processes and basic differential geometry in an accessible way for applied mathematicians, scientists, and engineers extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry and, the concept of Lie groups as continuous sets of symmetry operations is introduced. The key features also include: the FokkerPlanck Equation for diffusion processes in Euclidean space and on differentiable manifolds is derived in a way that can be understood by nonspecialists the concrete presentation style makes it easy for readers to obtain numerical solutions for their own problems  the emphasis is on how to calculate quantities rather than how to prove theorems and, a selfcontained appendix provides a comprehensive review of concepts from linear algebra, multivariate calculus, and systems of ordinary differential equations. "Stochastic Models, Information Theory, and Lie Groups" will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering.
About Gregory S. Chirikjian
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Author  :  Gregory S. Chirikjian 
Publisher  :  Birkhauser Boston 
Data Published  :  17 September 2009 
ISBN  :  081764802X 
EAN  :  9780817648022 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  408 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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