71 citations
3 papers
math-ph2004★ 15 cited
On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials
Vadim Kostrykin, Ivan Veselic
The present paper is devoted to the study of spectral properties of random Schroedinger operators. Using a finite section method for Toeplitz matrices, we prove a Wegner estimate f…
math-ph2002★ 71 cited
Quantum wires with magnetic fluxes
Vadim Kostrykin, Robert Schrader
In the present article magnetic Laplacians on a graph are analyzed. We provide a complete description of the set of all operators which can be obtained from a given self-adjoint La…
math.SP2002★ 30 cited
On the existence of solutions to the operator Riccati equation and the tanΘtheorem
Vadim Kostrykin, Konstantin A. Makarov, Alexander K. Motovilov
Let A and C be self-adjoint operators such that the spectrum of A lies in a gap of the spectrum of C and let d>0 be the distance between the spectra of A and C. We prove that under…