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

• Main Author: Chirikjian, Gregory S. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2012.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Mathematics.; Topological groups.; Lie groups.; Applied mathematics.; Engineering mathematics.; Differential geometry.; Probabilities.; Physics.; Applications of Mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Differential Geometry.; Probability Theory and Stochastic Processes.; Topological Groups, Lie Groups.; Mathematical Methods in Physics.

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 excellen...

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.