78 citations · 199 across the 22 of their papers we have counts for
4 papers · 1 filter
Extremal Eigenvalues and Eigenvectors of Deformed Wigner Matrices
Ji Oon Lee, Kevin Schnelli
We consider random matrices of the form , , where is a real symmetric or complex Hermitian Wigner matrix of size and is a real bounded dia…
Quantum Diffusion with Drift and the Einstein Relation II
Wojciech De Roeck, Juerg Froehlich, Kevin Schnelli
This paper is a companion to 'Quantum Diffusion with Drift and the Einstein Relation I' (jointly submitted to arXiv). Its purpose is to describe and prove a certain number of techn…
Quantum Diffusion with Drift and the Einstein Relation I
Wojciech De Roeck, Juerg Froehlich, Kevin Schnelli
We study the dynamics of a quantum particle hopping on a simple cubic lattice and driven by a constant external force. It is coupled to an array of identical, independent thermal r…
Local deformed semicircle law and complete delocalization for Wigner matrices with random potential
Ji Oon Lee, Kevin Schnelli
We consider Hermitian random matrices of the form , where is a Wigner matrix and a diagonal random matrix independent of . We assume subexponential decay for…