14 citations · 22 across the 4 of their papers we have counts for
10 papers
Fractional Laplacian Spectral Approach to Turbulence in a Dusty Plasma Monolayer
Evdokiya G Kostadinova, Rahul Banka, Joshua L Padgett +3
This work presents an analytical investigation of anomalous diffusion and turbulence in a dusty plasma monolayer, where energy transport across scales leads to the spontaneous form…
Numerical study of anomalous diffusion of light in semi-crystalline polymer structures
E G Kostadinova, J L Padgett, C D Liaw +2
From the spread of pollutants in the atmosphere to the transmission of nutrients across cell membranes, anomalous diffusion processes are ubiquitous in natural systems. The ability…
Matrix-valued Aleksandrov--Clark measures and Carathéodory angular derivatives
Constanze Liaw, Robert T. W. Martin, Sergei Treil
This paper deals with families of matrix-valued Aleksandrov--Clark measures , corresponding to purely contractive matrix functi…
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…
Spectral Analysis, Model Theory and Applications of Finite-Rank Perturbations
Dale Frymark, Constanze Liaw
This survey focuses on two main types of finite-rank perturbations: self-adjoint and unitary. We describe both classical and more recent spectral results. We pay special attention…
Spectral Analysis of Iterated Rank-One Perturbations
Dale Frymark, Constanze Liaw
The authors study the spectral theory of self-adjoint operators that are subject to certain types of perturbations. An iterative introduction of infinitely many randomly coupled ra…