Stochastic Models, Information Theory, and Lie Groups, Volume 2: Analytic Methods and Modern Applications

Stochastic Models, Information Theory, and Lie Groups, Volume 2: Analytic Methods and Modern Applications

by Gregory S. Chirikjian

Hardcover(1st Edition.)

$109.99
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Overview

This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups 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.

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. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.

Product Details

ISBN-13: 9780817649432
Publisher: Birkhäuser Boston
Publication date: 11/15/2011
Series: Applied and Numerical Harmonic Analysis
Edition description: 1st Edition.
Pages: 435
Sales rank: 1,198,032
Product dimensions: 7.01(w) x 10.00(h) x 0.04(d)

Table of Contents

Lie Groups I: Introduction and Examples.- Lie Groups II: Differential Geometric Properties.- Lie Groups III: Integration, Convolution, and Fourier Analysis.- Variational Calculus on Lie Groups.- Statistical Mechanics and Ergodic Theory.- Parts Entropy and the Principal Kinematic Formula.- Estimation and Multivariate Analysis in R^n.- Information, Communication, and Group Therapy.- Algebraic and Geometric Coding Theory.- Information Theory on Lie Groups.- Stochastic Processes on Lie Groups.- Locomotion and Perception as Communication over Principal Fiber Bundles; and A Survey of Additional Applications.

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