60 citations · 414 across the 46 of their papers we have counts for
5 papers · 1 filter
Anomalous Diffusion in One-Dimensional Disordered Systems: A Discrete Fractional Laplacian Method
J. L. Padgett, E. G. Kostadinova, C. D. Liaw +3
This work extends the applications of Anderson-type Hamiltonians to include transport characterized by anomalous diffusion. Herein, we investigate the transport properties of a one…
Delocalization for the 3-D discrete random Schroedinger operator at weak disorder
Westin King, Robert C. Kirby, Constanze Liaw
We apply a recently developed approach (Liaw 2013) to study the existence of extended states for the three dimensional discrete random Schroedinger operator at small disorder. The…
Conductance for the two dimensional discrete random Schroedinger operator with small disorder
Constanze Liaw
As part of condensed-matter physics, the field of Anderson localization concerns the study of conductance of electrons in a random medium. We summarize and explain the results obta…
A new numerical approach to Anderson (de)localization
Constanze Liaw
We develop a new approach for the Anderson localization problem. The implementation of this method yields strong numerical evidence leading to a (surprising to many) conjecture: Th…
Cyclicity in rank-one perturbation problems
Evgeny Abakumov, Constanze Liaw, Alexei Poltoratski
The property of cyclicity of a linear operator, or equivalently the property of simplicity of its spectrum, is an important spectral characteristic that appears in many problems of…