6 citations · 9 across the 7 of their papers we have counts for
7 papers
Pseudorandomness and Diffraction
David Damanik, Nicolae Strungaru
Pseudorandom structures are structures that behave like random ones, without necessarily being random themselves. It is a prominent, and evidently very difficult, conjecture that $…
Gap Labels and Asymptotic Gap Opening for Full Shifts
David Damanik, Íris Emilsdóttir, Jake Fillman
We discuss gap labelling for operators generated by the full shift over a compact subset of the real line. The set of Johnson--Schwartzman gap labels is the algebra generated by we…
What is Ballistic Transport?
David Damanik, Tal Malinovitch, Giorgio Young
In this article, we review some notions of ballistic transport from the mathematics and physics literature, describe their basic interrelations, and contrast them with other common…
Stability of Spectral Types of Quasi-Periodic Schrödinger Operators With Respect to Perturbations by Decaying Potentials
David Damanik, Xianzhe Li, Jiangong You +1
We consider perturbations of quasi-periodic Schrödinger operators on the integer lattice with analytic sampling functions by decaying potentials and seek decay conditions under whi…
Uniformity Aspects of Cocycles and Applications to Schrödinger Operators Defined Over Boshernitzan Subshifts
David Damanik, Daniel Lenz
We consider continuous valued cocycles over general dynamical systems and discuss a variety of uniformity notions. In particular, we provide a descripti…
Must the Spectrum of a Random Schrödinger Operator Contain an Interval?
David Damanik, Anton Gorodetski
We consider Schrödinger operators in whose potentials are given by independent (not necessarily identically distributed) random variables. We ask whether it is…