5 papers
The Point Spectrum Of Periodic Quantum Trees
Jonathan Breuer, Netanel Y. Levi
We study the point spectrum of a periodic quantum tree equipped with a Schrödinger type differential operator with delta-type vertex conditions, using subsets of the compact graph…
On a Question of Poltoratski
Netanel Levi
We study half-line discrete Schrödinger operators and their rank-one perturbations. We establish certain continuity and stability properties of the Fourier transform of the associ…
The Schröder-Bernstein property for operators on Hilbert spaces
Nicolás Cuervo Ovalle, Isaac Goldbring, Netanel Levi
We establish that the complete theory of a Hilbert space equipped with a normal operator has the Schröder-Bernstein property. This answers a question of Argoty, Berenstein, and th…
On Fractal Continuity Properties of Certain One-Dimensional Schrödinger Operators
Netanel Levi
We construct examples of one-dimensional Schrödinger operators that illustrate the subtle nature of fractal continuity properties of spectral measures. First, we present half-line…
Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials
Netanel Levi
Let be a quasiperiodic Schrödinger operator generated by a monotone potential, as defined in [16]. Following [20], we study the connection between the Lyapunov exponent $L\lef…