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math-ph1999
Uniform spectral properties of one-dimensional quasicrystals, II. The Lyapunov exponent
David Damanik, Daniel Lenz
In this paper we introduce a method that allows one to prove uniform local results for one-dimensional discrete Schrödinger operators with Sturmian potentials. We apply this method…
math.SP1999
Half-line eigenfunction estimates and singular continuous spectrum of zero Lebesgue measure
David Damanik, Daniel Lenz
We consider discrete one-dimensional Schrödinger operators with strictly ergodic, aperiodic potentials taking finitely many values. The well-known tendency of these operators to ha…