Remarks on the Generalized Reflectionless Schrodinger Potentials

摘要

We discuss certain compact, translation-invariant subsets of the set of the generalized reflectionless potentials for the one-dimensional Schrodinger operator. We determine a stationary ergodic subset of whose Lyapunov exponent is discontinuous at a point. We also determine an almost automorphic, non-almost periodic minimal subset of R.