  Statistical properties of infinite products of random isotropically
distributed matrices are investigated. Both for continuous processes with
finite correlation time and discrete sequences of independent matrices, a
formalism that allows to calculate easily the Lyapunov spectrum and generalized
Lyapunov exponents is developed. This problem is of interest to probability
theory, statistical characteristics of matrix T-exponentials are also needed
for turbulent transport problems, dynamical chaos and other parts of
statistical physics.
