Special matrices of mathematical physics: stochastic, circulant, and Bell matrices

This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to ini...

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Bibliographic Details
Main Author: Aldrovandi, R. (Author)
Format: Electronic eBook
Language:English
Published: Singapore World Scientific Pub. Co. c2001
Subjects:
Online Access:FHN01
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Summary:This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building blocks of elementary Fourier analysis and provide a natural gateway to quantum mechanics and noncommutative geometry. Bell polynomials offer closed expressions for many formulas concerning Lie algebra invariants, differential geometry and real gases, and their matrices are instrumental in the study of chaotic mappings
Physical Description:xv, 323 p. ill
ISBN:9789812799838

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