431 citations · 1.1k across the 42 of their papers we have counts for
5 papers · 1 filter
The Density of States and the Spectral Shift Density of Random Schroedinger Operators
Vadim Kostrykin, Robert Schrader
In this article we continue our analysis of Schroedinger operators with a random potential using scattering theory. In particular the theory of Krein's spectral shift function lead…
Scattering Theory Approach to Random Schroedinger Operators in One Dimension
Vadim Kostrykin, Robert Schrader
Methods from scattering theory are introduced to analyze random Schroedinger operators in one dimension by applying a volume cutoff to the potential. The key ingredient is the Lifs…
Regularity of the Density of Surface States
Vadim Kostrykin, Robert Schrader
We prove that the integrated density of surface states of continuous or discrete Anderson-type random Schroedinger operators is a measurable locally integrable function rather than…
The Generalized Star Product and the Factorization of Scattering Matrices on Graphs
Vadim Kostrykin, Robert Schrader
In this article we continue our analysis of Schrödinger operators on arbitrary graphs given as certain Laplace operators. In the present paper we give the proof of the composition…
Global Bounds for the Lyapunov Exponent and the Integrated Density of States of Random Schrödinger Operators in One Dimension
Vadim Kostrykin, Robert Schrader
In this article we prove an upper bound for the Lyapunov exponent and a two-sided bound for the integrated density of states at an arbitrary energy of random Sc…