Dynamical bounds for quasiperiodic Schrödinger operators with rough potentials

Abstract

We establish localization type dynamical bounds as a corollary of positive Lyapunov exponents for general operators with quasiperiodic potentials defined by piecewise Holder functions.

14 pages. To appear in International Mathematics Research Notices. 2016

References in corpus (2)

• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Positive Lyapunov Exponents for Quasiperiodic Szego cocycles

Cited by in corpus (5)

• Dynamics and spectral theory of quasi-periodic Schrödinger-type operators
• Upper bounds on transport exponents for long range operators
• Power law logarithmic bounds of moments for long range operators in arbitrary dimension
• Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy
• Continuous quasiperiodic Schrödinger operators with Gordon type potentials