Lyapunov exponents for matrices with invariant subspaces (Q1108654)

The author shows that the Lyapunov exponents of a stationary, ergodic, time reversible sequence \(\{\) M(j)\(\}\) of complex matrices coincide with the corresponding exponents of the conjugate transposed sequence \(\{\) M'(j)\(\}\). Also, he proves that if \(\{\) M(j)\(\}\) have upper block triangular form then the Lyapunov exponents are sums of the corresponding exponents for stationary sequences constructed of diagonal blocks.