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- Lawrence Livermore National LaboratoryUS28 papers
- University of California San DiegoUS21 papers
- Iowa State UniversityUS19 papers
- Argonne National LaboratoryUS18 papers
- Stanford UniversityUS18 papers
- Ames National LaboratoryUS17 papers
- Centre National de la Recherche ScientifiqueFR16 papers
- Princeton UniversityUS16 papers
- University of FloridaUS16 papers
- Oak Ridge National LaboratoryUS15 papers
- Rutgers, The State University of New JerseyUS15 papers
- University College LondonGB15 papers
18 papers · 1 filter
Perturbative diagonalization and spectral gaps of quasiperiodic operators on with monotone potentials
Ilya Kachkovskiy, Leonid Parnovski, Roman Shterenberg
We obtain a perturbative proof of localization for quasiperiodic operators on with one-dimensional phase space and monotone sampling functions, in the regime of smal…
On gaps in the spectra of quasiperiodic Schrödinger operators with discontinuous monotone potentials
Ilya Kachkovskiy, Leonid Parnovski, Roman Shterenberg
We show that, for one-dimensional discrete Schrödinger operators, stability of Anderson localization under a class of rank one perturbations implies absence of intervals in spectra…
On Fourier expansions for systems of ordinary differential equations with distributional coefficients
Steven Redolfi, Rudi Weikard
We study the spectral theory for the first-order system of differential equations on the real interval where is a constant, invertible, skew-hermitian matri…
Green's functions for first-order systems of ordinary differential equations without the unique continuation property
Steven Redolfi, Rudi Weikard
This paper is a contribution to the spectral theory associated with the differential equation on the real interval when is a constant, invertible skew-Hermi…
Extended States for Polyharmonic Operators with Quasi-periodic Potentials in Dimension Two
Yulia Karpeshina, Roman Shterenberg
We consider a polyharmonic operator $H=(-Δ)^l+V(\x)$ in dimension two with , being an integer, and a quasi-periodic potential $V(\x)$. We prove that the spectrum of $H…
A Survey on the Krein-von Neumann Extension, the corresponding Abstract Buckling Problem, and Weyl-Type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains
Mark S. Ashbaugh, Fritz Gesztesy, Marius Mitrea +2
In the first (and abstract) part of this survey we prove the unitary equivalence of the inverse of the Krein--von Neumann extension (on the orthogonal complement of its kernel) of…