38 citations · 237 across the 33 of their papers we have counts for
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Wegner estimate for discrete Schrödinger operators with Gaussian random potentials
Martin Tautenhahn
We prove a Wegner estimate for discrete Schrödinger operators with a potential given by a Gaussian random process. The only assumption is that the covariance function decays expone…
Wegner estimate and disorder dependence for alloy-type Hamiltonians with bounded magnetic potential
Matthias Täufer, Martin Tautenhahn
We consider non-ergodic magnetic random Schödinger operators with a bounded magnetic vector potential. We prove an optimal Wegner estimate valid at all energies. The proof is an ad…
Discrete alloy-type models: Regularity of distributions and recent results
Martin Tautenhahn, Ivan Veselić
We consider discrete random Schrödinger operators on with a potential of discrete alloy-type structure. That is, the potential at lattice site $x \in \mathb…
Localization for alloy-type models with non-monotone potentials
Martin Tautenhahn
We consider a family of self-adjoint operators [H_ω= - Δ+ λV_ω, \quad ω\in Ω= \bigtimes_{k \in \ZZ^d} \RR,] on the Hilbert space $\ell^2 (\ZZ^d)$ or $L^2 (\RR^d)$. Here denotes…
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…
Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method
Alexander Elgart, Martin Tautenhahn, Ivan Veselic'
A technically convenient signature of Anderson localization is exponential decay of the fractional moments of the Green function within appropriate energy ranges. We consider a ran…
Localization via fractional moments for models on with single-site potentials of finite support
Alexander Elgart, Martin Tautenhahn, Ivan Veselić
One of the fundamental results in the theory of localization for discrete Schrödinger operators with random potentials is the exponential decay of Green's function and the absence…