Sets of Non-Lyapunov Behaviour for Scalar and Matrix Schrödinger Cocycles
Sets of Non-Lyapunov Behaviour for Scalar and Matrix Schrödinger Cocycles
Abstract We discuss the growth of the singular values of symplectic transfer matrices associated with ergodic discrete Schrödinger operators in one dimension, with scalar and matrix-valued potentials. While for an individual value of the spectral parameter the rate of exponential growth is almost surely governed by the Lyapunov exponents, this …