5 papers
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…
Eigenfunctions and Quantum Transport with Applications to Trimmed Schrodinger Operators
Peter D> Hislop, Werner Kirsch, M. Krishna
We provide a simple proof of dynamical delocalization, that is, time-increasing lower bounds on quantum transport for discrete, one-particle Schrodinger operators on $\ell^2 (\math…
The Almost Sure Semicircle Law for Random Band Matrices with Dependent Entries
Michael Fleermann, Werner Kirsch, Thomas Kriecherbauer
We analyze the empirical spectral distribution of random periodic band matrices with correlated entries. The correlation structure we study was first introduced in 2015 by Hochstät…
Lifshitz tails for the Interband Light Absorption Coefficient
W. Kirsch, M. Krishna
In this paper we consider the Interband Light Absorption Coefficient for various models. We show that at the lower and upper edges of the spectrum the Lifshitz tails behaviour of t…
On Asymptotic Expansions and Scales of Spectral Universality in Band Random Matrix Ensembles
A. Khorunzhy, W. Kirsch
We consider the family of N-dimensional real symmetric matrices H with random independent entries whose variance is determined by a function U((x-y)/b). In the limit of (relatively…