2 papers
math-ph2021
Logarithmic quantum dynamical bounds for arithmetically defined ergodic Schrödinger operators with smooth potentials
Svetlana Jitomirskaya, Matthew Powell
We present a method for obtaining power-logarithmic bounds on the growth of the moments of the position operator for one-dimensional ergodic Schrödinger operators. We use Bourgain'…
math.SP2021
Fine dimensional properties of spectral measures
Michael Landrigan, Matthew Powell
Operators with zero dimensional spectral measures appear naturally in the theory of ergodic Schrödinger operators. We develop the concept of a complete family of Hausdorff measure…