TY - ELEC
DB - /z-wcorg/
DP - http://worldcat.org
ID - 505150634
LA - English
UR - http://site.ebrary.com/id/10255829
T1 - Special matrices of mathematical physics : stochastic, circulant, and Bell matrices
AU - Aldrovandi, R.
PB - World Scientific
CY - Singapore; River Edge, N.J.
Y1 - 2001///
SN - 9789812799838 9812799834 1281951390 9781281951397
AB - This work expounds three special kinds of matrices that are of physical interest, centring on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, non-equilibrium, 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 non-commutative 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.
ER -