4 papers
A semiclassical approach to spectral estimates for random Landau Schrodinger operators
D. Borthwick, S. Eswarathasan, P. D. Hislop
We prove spectral properties for random Landau Schrödinger operators on with bounded, random potentials supported in a square of si…
Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula
Peter D. Hislop, Christoph A. Marx
The main result of this paper is a modified Thouless formula relating the density of states for ergodic Schrodinger operators on the Bethe lattice to the Lyapunov exponent. The mod…
Dynamical localization and delocalization for random Schrodinger operators with -interactions in
Peter D. Hislop, Werner Kirsch, M. Krishna
We prove that the random Schrodinger operators on with independent, identically distributed random variables and single-site potentials given by -functions on $\…
Eigenvalue statistics for random polymer models: Localization and delocalization
Peter D. Hislop, Fumihiko Nakano
We study the local eigenvalue statistics (LES) associated with one-dimensional lattice models of random polymers. We consider models constructed from two polymers. Each polymer is…