OOIR: Observatory of International Research

Papers

(The median citation count of Journal of Spectral Theory is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-01-01 to 2026-01-01.)

Article	Citations
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling	20
Spectral fluctuations for the multi-dimensional Anderson model	11
The fate of Landau levels under $\delta$-interactions	10
Lower bound of Schrödinger operators on Riemannian manifolds	9
Integral representations of isotropic semiclassical functions and applications	9
Discrete approximations to Dirac operators and norm resolvent convergence	9
A growth estimate for the monodromy matrix of a canonical system	9
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators	8
Eigenvalue bounds for perturbed periodic Dirac operators	8
Inertia of Kraus matrices	7
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations	7
Ballistic transport for limit-periodic Schrödinger operators in one dimension	7
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators	6
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer	6
Reproving Friedlander’s inequality with the de Rham complex	6
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript	5
Three-term asymptotic formula for large eigenvalues of the two-photon quantum Rabi model	5
Spectral properties of symmetrized AMV operators	5
Failure of $L^p$ symmetry of zonal spherical harmonics	5
Essential norm resolvent estimates and essential numerical range	5
Lowest energy band function for magnetic steps	5
Spectral convergence of high-dimensional spheres to Gaussian spaces	5
Dimitri Rauelevich Yafaev (1948–2024)	5
Quantitative magnetic isoperimetric inequality	4
Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles	4

Spectral estimates of dynamically-defined and amenable operator families	4
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators	4
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms	4
Pauli Hamiltonians with an Aharonov–Bohm flux	3
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis	3
A semiclassical Birkhoff normal form for symplectic magnetic wells	3
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds	3
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators	3
Universal behavior of the BCS energy gap	3
Semiclassical Gevrey operators and magnetic translations	3
Sobolev improvements on sharp Rellich inequalities	3
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary	3
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds	3
Nodal count for a random signing of a graph with disjoint cycles	3
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality	3
Localization on the quantum graph connecting the points of the lattice ${\Bbb Z}^{d}$	3
Spectral shift for relative Schatten class perturbations	3
Quasiballistic transport for discrete one-dimensional quasiperiodic Schrödinger operators	3
Eigenvalues of singular measures and Connes’ noncommutative integration	3
$2$-nodal domain theorems for higher-dimensional circle bundles	3
A hot spots theorem for the mixed eigenvalue problem with small Dirichlet region	3
Manifolds whose Weyl spectral asymptotics have small but not tiny remainders	3
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations	2
Eigenfunction asymptotics and spectral rigidity of the ellipse	2
On the ground state of lattice Schrödinger operators	2
Spectral and dynamical results related to certain non-integer base expansions on the unit interval	2
Inertia of Kwong matrices	2
Invariant subspaces of elliptic systems II: Spectral theory	2
Gelfand’s inverse problem for the graph Laplacian	2
Spectral characteristics of Schrödinger operators generated by product systems	2
Tunneling effect in two dimensions with vanishing magnetic fields	2
A quantitative formula for the imaginary part of a Weyl coefficient	2
The $L^{p}$-boundedness of wave operators for fourth order Schrödinger operators on $\R^{4}$	2
The Friedrichs extension of a class of discrete symplectic systems	2
The wave trace and Birkhoff billiards	2
Spectral instabilities: variations on a theme loved by Brian Davies	2
Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds	2
Spectral summability for the quartic oscillator with applications to the Engel group	2
On the number of bound states for fractional Schrödinger operators with critical and super-critical exponent	2
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs	2
Quantitative propagation of smallness and spectral estimates for the Schrödinger operator	2
Hardy inequalities for large fermionic systems	2
Generalised norm resolvent convergence: comparison of different concepts	2
A uniqueness result for the Calderón problem for $U(N)$-connections coupled to spinors	2
Absence of bound states for quantum walks and CMV matrices via reflections	2
Critical points of the Eisenstein series $E_{4}$ and application to the spectrum of the Lamé operator	1
Scattering theory with both regular and singular perturbations	1
Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one	1
Zero measure spectrum for multi-frequency Schrödinger operators	1
Upper bound on the second Laplacian eigenvalue on real projective space	1

The density of states and local eigenvalue statistics for random band matrices of fixed width	1
Bound states in bent soft waveguides	1
The spectrum of the Poincaré operator in an ellipsoid	1
Dirac points for twisted bilayer graphene with in-plane magnetic field	1
Sharp Hardy’s inequalities in Hilbert spaces	1
On existence of minimizers for weighted $L^{p}$-Hardy inequalities on $C^{1,\gamma}$-domains with compact boundary	1
Isoperimetric inequalities for inner parallel curves	1
Boundary superconductivity in the BCS Model	1
Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions	1
A sharp isoperimetric inequality for the second eigenvalue of the Robin plate	1
Spectral analysis of Dirac operators for dislocated potentials with a purely imaginary jump	1
The Calderón problem revisited: Reconstruction with resonant perturbations	1
Hadamard-type variation formulas for the eigenvalues of the $\eta$-Laplacian and applications	1
Local perturbations of potential well arrays	1
Improved semiclassical eigenvalue estimates for the Laplacian and the Landau Hamiltonian	1
Reflectionless Dirac operators and canonical systems	1
On spatial conditioning of the spectrum of discrete Random Schrödinger operators	1
On the spectral properties of the Hilbert transform operator on multi-intervals	1
Spectral shift via “lateral” perturbation	1
Limit theorems on the mesoscopic scale for the Anderson model	1
Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media	1
Several isoperimetric inequalities of Dirichlet and Neumann eigenvalues of the Witten Laplacian	1
Eigenvalues for a class of non-Hermitian tetradiagonal Toeplitz matrices	1
Magnetic Dirac operator in strips submitted to strong magnetic fields	1
Anderson localization for Schrödinger operators with monotone potentials over circle homeomorphisms	1
On the effects of small perturbation on low energy Laplace eigenfunctions	1
Weyl laws for open quantum maps	1