71 citations · 138 across the 9 of their papers we have counts for
18 papers
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…
Generating Functions of Random Walks on Graphs
Vadim Kostrykin, Robert Schrader
The article provides an explicit algebraic expression for the generating function of walks on graphs. Its proof is based on the scattering theory for the differential Laplace opera…
The singularly continuous spectrum and non-closed invariant subspaces
Vadim Kostrykin, Konstantin A. Makarov
Let be a bounded self-adjoint operator on a separable Hilbert space and a closed invariant subspace of .…
A Random Necklace Model
Vadim Kostrykin, Robert Schrader
We consider a Laplace operator on a random graph consisting of infinitely many loops joined symmetrically by intervals of unit length. The arc lengths of the loops are considered t…
A generalization of the Theorem
Vadim Kostrykin, Konstantin A. Makarov, Alexander K. Motovilov
Let be a bounded self-adjoint operator on a separable Hilbert space and a closed invariant subspace of .…
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…