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• #### New Anomalous Lieb-Robinson Bounds in Quasiperiodic XY Chains ﻿

(2014)
We announce and sketch the rigorous proof of a new kind of anomalous (or sub-ballistic) Lieb-Robinson (LR) bound for an isotropic XY chain in a quasiperiodic transversal magnetic field. Instead of the usual effective light ...
• #### Wigner-von Neumann type perturbations of periodic Schrödinger operators ﻿

(2015)
Schrödinger operators on the half line. More precisely, the perturbations we consider satisfy a generalized bounded variation condition at infinity and an LP decay condition. We show that the absolutely continuous spectrum ...