5 citations · 5 across the 1 of their papers we have counts for
5 papers
Dirichlet-Neumann bracketing for a class of banded Toeplitz matrices
Martin Gebert
We consider boundary conditions of self-adjoint banded Toeplitz matrices. We ask if boundary conditions exist for banded self-adjoint Toeplitz matrices which satisfy operator inequ…
Lifshitz tails for the fractional Anderson model
Martin Gebert, Constanza Rojas-Molina
We consider the -dimensional fractional Anderson model on where . Here is the negative discrete Laplacian and is the ra…
On pure complex spectrum for truncations of random orthogonal matrices and Kac polynomials
Martin Gebert, Mihail Poplavskyi
Let be the group of orthogonal matrices of size equipped with the probability distribution given by normalized Haar m…
On determinants identity minus Hankel matrix
Emilio Fedele, Martin Gebert
In this note, we study the asymptotics of the determinant for large, where is the restriction of a Hankel matrix with finitely many jum…
A lower Wegner estimate and bounds on the spectral shift function for continuum random Schrödinger operators
Martin Gebert
We prove a strictly positive, locally uniform lower bound on the density of states (DOS) of continuum random Schrödinger operators on the entire spectrum, i.e. we show that the DOS…