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.

Remarks on the Generalized Reflectionless Schrödinger Potentials

ZAMPOGNI, Luca
2016

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1390986
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