65 citations · 439 across the 44 of their papers we have counts for
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Classical magnetic Lifshits tails in three space dimensions: impurity potentials with slow anisotropic decay
Dirk Hundertmark, Werner Kirsch, Simone Warzel
We determine the leading low-energy fall-off of the integrated density of states of a magnetic Schroedinger operator with repulsive Poissonian random potential in case its single i…
Variational Estimates for Discrete Schrödinger Operators with Potentials of Indefinite Sign
David Damanik, Dirk Hundertmark, Rowan Killip +1
Let be a one-dimensional discrete Schrödinger operator. We prove that if $σ_{\ess} (H)\subset [-2,2]$, then is compact and $σ_{\ess}(H)=[-2,2]$. We also prove that if $…
Bound States and the Szego Condition for Jacobi Matrices and Schrodinger Operators
David Damanik, Dirk Hundertmark, Barry Simon
For Jacobi matrices with a_n = 1+(-1)^n alpha n^{-gamma}, b_n = (-1)^n beta n^{-gamma}, we study bound states and the SzegHo condition. We provide a new proof of Nevai's result tha…