20 citations · 20 across the 5 of their papers we have counts for
6 papers
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…
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…
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…
Modified Jost solutions of Schrödinger operators with locally potentials
Milivoje Lukić, Xingya Wang
We study Jost solutions of Schrödinger operators with potentials which decay with respect to a local Sobolev norm; in particular, we generalize to this setting the results…
On point spectrum of Jacobi matrices generated by iterations of quadratic polynomials
Benjamin Eichinger, Milivoje Lukić, Peter Yuditskii
In general, point spectrum of an almost periodic Jacobi matrix can depend on the element of the hull. In this paper, we study the hull of the limit-periodic Jacobi matrix correspon…
A class of Schrodinger operators with decaying oscillatory potentials
Milivoje Lukic
We discuss Schrödinger operators on a half-line with decaying oscillatory potentials, such as products of an almost periodic function and a decaying function. We provide sufficient…