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.
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Language English ● Format PDF ● Pages 340 ● ISBN 9789812799838 ● File size 10.7 MB ● Publisher World Scientific Publishing Company ● City Singapore ● Country SG ● Published 2001 ● Downloadable 24 months ● Currency EUR ● ID 2447044 ● Copy protection Adobe DRM
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