2 papers
math.SP2025
Optimal dispersion for discrete periodic Schrödinger operators
David Damanik, Jake Fillman, Giorgio Young
We prove a dispersive estimate for periodic discrete Schrödinger operators on the line with optimal rate of decay. Additionally, by standard methods, we deduce dispersive estimate…
math.SP2025
Comb domains of Schrödinger operators with small quasiperiodic potentials
Ilia Binder, David Damanik, Michael Goldstein +1
We characterize spectra of Schrödinger operators with small quasiperiodic analytic potentials in terms of their comb domains, and study action variables motivated by the KdV integ…