4 citations · 4 across the 7 of their papers we have counts for
8 papers
(Sharp arithmetic) localization beyond transversality
Svetlana Jitomirskaya, Netanel Levi, Tom Stoiber
We prove sharp arithmetic localization for one-dimensional quasiperiodic potentials with jump discontinuities, beyond uniform transversality. Our results include every non-constant…
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 associa…
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…
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 the…
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\left…
Eigenfunction Expansion and the Decomposition of Jacobi Operators on
Netanel Levi
Let be a Jacobi operator on . We prove an eigenfunction expansion theorem for the singular part of using subordinate solutions to the eigenva…
Thermally activated particle motion in biased correlated Gaussian disorder potentials
Alexander Valov, Netanel Levi, Baruch Meerson
Thermally activated particle motion in disorder potentials is controlled by the large- tail of the distribution of height of the potential barriers created by the disorder…