3 papers
math.SP2026
Upper bounds on eigenvalue spacing for decaying potentials
Milivoje Lukic, Brian Simanek
We study decaying half-line Schrödinger operators and the local eigenvalue spacing of their Dirichlet restrictions. While absolutely continuous spectrum is strongly associated with…
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 integr…
math.SP2025
A Weyl Matrix Perspective on Unbounded Non-Self-Adjoint Jacobi Matrices
Benjamin Eichinger, Milivoje Lukić, Giorgio Young
A new way of encoding a non-self-adjoint Jacobi matrix by a spectral measure of together with a phase function was described by Pushnitski--\v Stampach in the bounded cas…