书目名称 | Stochastic Models, Information Theory, and Lie Groups, Volume 1 | 副标题 | Classical Results an | 编辑 | Gregory S. Chirikjian | 视频video | | 概述 | Unique work: the only book to use tools and concepts from several mathematical areas usually treated in separate books—stochastic processes, information theory, and Lie theory—thereby building bridges | 丛书名称 | Applied and Numerical Harmonic Analysis | 图书封面 |  | 描述 | .The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volume set presents these topics in a unified setting, thereby building bridges between fields that are rarely studied by the same people. 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 group-theoretic concepts in the modeling of physical phenomena..Volume 1. establishes the geometric and statistical foundations required to understand the fundamentals of continuous-time 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.:.* The author reviews stochastic processes and basic differential geometry in an accessible way for applied mathematicians, scientists, and engineers..* Extensive exercises and motivating | 出版日期 | Textbook 2009 | 关键词 | Fokker–Planck equation; Gaussian Distributions, Heat Equ; communication; differentiable manifolds; diffu | 版次 | 1 | doi | https://doi.org/10.1007/978-0-8176-4803-9 | isbn_ebook | 978-0-8176-4803-9Series ISSN 2296-5009 Series E-ISSN 2296-5017 | issn_series | 2296-5009 | copyright | Birkh�user Boston 2009 |
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