9 citations · 18 across the 7 of their papers we have counts for
7 papers
A new spectral analysis of stationary random Schrödinger operators
Mitia Duerinckx, Christopher Shirley
Motivated by the long-time transport properties of quantum waves in weakly disordered media, the present work puts random Schrödinger operators into a new spectral perspective. Bas…
Approximate normal forms via Floquet-Bloch theory: Nehorosev stability for linear waves in quasiperiodic media
Mitia Duerinckx, Antoine Gloria, Christopher Shirley
We study the long-time behavior of the Schr{ö}dinger flow in a heterogeneous potential V with small intensity 0<1 (or alternatively at high frequencies). The main new in…
Decorrelation estimates for random Schrödinger operators with non rank one perturbations
P. D. Hislop, M. Krishna, C. Shirley
We prove decorrelation estimates for generalized lattice Anderson models on constructed with finite-rank perturbations in the spirit of Klopp \cite{klopp}. These are applied…
Decorrelation estimates for some continuous and discrete random Schr{ö}dinger operators in dimension one, without covering condition
Christopher Shirley
The purpose of the present work is to establish decorrelation estimates at distinct energies for some random Schr{ö}dinger operator in dimension one. In particular, we establish th…
Decorrelation estimates for random Schrödinger operators with non rank one perturbations
Peter D. Hislop, M. Krishna
We prove decorrelation estimates for generalized lattice Anderson models on constructed with finite-rank perturbations in the spirit of Klopp \cite{klopp}. These are applied…
Decorrelation estimates for some continuous and discrete random schrödinger operators in dimension one and applications to spectral statistics
Christopher Shirley
The purpose of the present work is to establish decorrelation estimates at distinct energies for some random Schrödinger operator in dimension one. In particular, we establish the…
Decorrelation estimates for random discrete Schrödinger operators in dimension one and applications to spectral statistics
Christopher Shirley
The purpose of the present work is to establish decorrelation estimates for some random discrete Schrodinger operator in dimension one. We prove that the Minami estimates are conse…