30 citations · 69 across the 12 of their papers we have counts for
4 papers · 1 filter
An exact renormalization formula for Gaussian exponential sums and applications
Alexander Fedotov, Frédéric Klopp
In the present paper, we derive a renormalization formula "à la Hardy-Littlewood" for the Gaussian exponential sums with an exact formula for the remainder term. We use this formul…
Absolute continuity of the spectrum of a Landau Hamiltonian perturbed by a generic periodic potential
Frédéric Klopp
Consider , a non-degenerate lattice in and a constant magnetic field with a flux though a cell of that is a rational multiple of . We prove that for a generic…
Lifshitz Tails for Generalized Alloy Type Random Schrödinger Operators
Frédéric Klopp, Shu Nakamura
We study Lifshitz tails for random Schrödinger operators where the random potential is alloy type in the sense that the single site potentials are independent, identically distribu…
The Fate of the Landau Levels under Perturbations of Constant Sign
Frédéric Klopp, Georgi Raikov
We show that the Landau levels cease to be eigenvalues if we perturb the 2D Schrödinger operator with constant magnetic field, by bounded electric potentials of fixed sign. We also…