15 citations · 46 across the 7 of their papers we have counts for
4 papers · 1 filter
Poisson eigenvalue statistics for random Schrödinger operators on regular graphs
Leander Geisinger
For random operators it is conjectured that spectral properties of an infinite-volume operator are related to the distribution of spectral gaps of finite-volume approximations. In…
Convergence of the density of states and delocalization of eigenvectors on random regular graphs
Leander Geisinger
Consider a random regular graph of fixed degree with vertices. We study spectral properties of the adjacency matrix and of random Schrödinger operators on such a graph as $…
The ground state energy of a polaron in a strong magnetic field
Rupert L. Frank, Leander Geisinger
We show that the ground state of a polaron in a homogeneous magnetic field and its energy are described by an effective one-dimensional minimization problem in the limit $B\to\…
Universal Bounds for Traces of the Dirichlet Laplace Operator
Leander Geisinger, Timo Weidl
We derive upper bounds for the trace of the heat kernel of the Dirichlet Laplace operator in an open set , . In domains of finite volume the result…