57 citations · 222 across the 49 of their papers we have counts for
52 papers
Poisson eigenvalue statistics and dynamical delocalization for fractional and long-range Anderson models
Peter D. Hislop, Rodrigo Matos, Constanza Rojas-Molina
We study local eigenvalue statistics and dynamical (de)-localization properties for long-range Anderson models, including the fractional Anderson model. These systems are random An…
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 side…
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 $\m…
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…
Asymptotic analysis of time-fractional quantum diffusion
Peter D. Hislop, Eric Soccorsi
We study the large-time asymptotics of the mean-square displacement for the time-fractional Schrodinger equation in . We define the time-fractional derivative by the…