ENGLISH

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

By R. Aldrovandi

Book information

Publisher
World Scientific
Year
2001
ISBN
9810247087, 9789810247089, 9789812799838
Open Library ID
OL17028451M
Language
english
Format
DJVU
Filesize
2 MB (1664490 bytes)
Edition
1st
Pages
338\338
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

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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