paper

Dynamical Upper Bounds for One-Dimensional Quasicrystals

arXiv:math-ph/0203018

Abstract

Following the Killip-Kiselev-Last method, we prove quantum dynamical upper bounds for discrete one-dimensional Schrödinger operators with Sturmian potentials. These bounds hold for sufficiently large coupling, almost every rotation number, and every phase.

14 pages; this paper extends and replaces math-ph/0112013

References in corpus (1)