6 citations · 11 across the 3 of their papers we have counts for
3 papers
math.SP2012★ 6 cited
An explicit skew-shift Schrödinger operator with positive Lyapunov exponent at small coupling
Helge Krüger
I give an example of a skew-shift Schrödinger operator with positive Lyapunov exponent in the spectrum for all positive coupling constant with constant frequency. This is the first…
math-ph2011
Discrete Schrödinger operators with random alloy-type potential
Alexander Elgart, Helge Krüger, Martin Tautenhahn +1
We review recent results on localization for discrete alloy-type models based on the multiscale analysis and the fractional moment method, respectively. The discrete alloy-type mod…
math.SP2010★ 5 cited
On the spectrum of skew-shift Schrödinger operators
Helge Krüger
I prove that the spectrum of a skew-shift Schrödinger operator contains larges interval in the semi-classical regime. In the semi-classical limit, these intervals approach the rang…