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 2022-05-01 to 2026-05-01.)

Article	Citations
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling	12
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	10
Discrete approximations to Dirac operators and norm resolvent convergence	10
A growth estimate for the monodromy matrix of a canonical system	9
Ballistic transport for limit-periodic Schrödinger operators in one dimension	8
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators	8
Eigenvalue bounds for perturbed periodic Dirac operators	8
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations	7
Inertia of Kraus matrices	6
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer	6
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators	6
Reproving Friedlander’s inequality with the de Rham complex	6
Spectral properties of symmetrized AMV operators	6
Three-term asymptotic formula for large eigenvalues of the two-photon quantum Rabi model	5
Spectral convergence of high-dimensional spheres to Gaussian spaces	5
Dimitri Rauelevich Yafaev (1948–2024)	5
Lowest energy band function for magnetic steps	5
Essential norm resolvent estimates and essential numerical range	5
Failure of $L^p$ symmetry of zonal spherical harmonics	5
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis	4
Spectral shift for relative Schatten class perturbations	4
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators	4
Sobolev improvements on sharp Rellich inequalities	4

Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds	4
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms	4
Spectral estimates of dynamically-defined and amenable operator families	4
A semiclassical Birkhoff normal form for symplectic magnetic wells	4
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds	4
Pauli Hamiltonians with an Aharonov–Bohm flux	4
Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles	4
Quantitative magnetic isoperimetric inequality	4
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary	4
Quasiballistic transport for discrete one-dimensional quasiperiodic Schrödinger operators	4
Universal methods for nonlinear spectral problems	4
Localization on the quantum graph connecting the points of the lattice ${\Bbb Z}^{d}$	3
Manifolds whose Weyl spectral asymptotics have small but not tiny remainders	3
Universal behavior of the BCS energy gap	3
On the number of bound states for fractional Schrödinger operators with critical and super-critical exponent	3
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators	3
Nodal count for a random signing of a graph with disjoint cycles	3
A quantitative formula for the imaginary part of a Weyl coefficient	3
Quantitative propagation of smallness and spectral estimates for the Schrödinger operator	3
On the ground state of lattice Schrödinger operators	3
A hot spots theorem for the mixed eigenvalue problem with small Dirichlet region	3
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality	3
Optimal Runge approximation for damped nonlocal wave equations and simultaneous determination results	3
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs	3
Spectral summability for the quartic oscillator with applications to the Engel group	3
$2$-nodal domain theorems for higher-dimensional circle bundles	3
Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds	2
The $L^{p}$-boundedness of wave operators for fourth order Schrödinger operators on $\R^{4}$	2
Inertia of Kwong matrices	2
Spectral and dynamical results related to certain non-integer base expansions on the unit interval	2
Generalised norm resolvent convergence: comparison of different concepts	2
The Duistermaat index and eigenvalue interlacing for self-adjoint extensions of a symmetric operator	2
A generalized winding number formula for the Witten index of a Toeplitz operator	2
Bound states in bent soft waveguides	2
The Friedrichs extension of a class of discrete symplectic systems	2
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations	2
Tunneling effect in two dimensions with vanishing magnetic fields	2
Spectral instabilities: variations on a theme loved by Brian Davies	2
Eigenvalues for a class of non-Hermitian tetradiagonal Toeplitz matrices	2
The Calderón problem revisited: Reconstruction with resonant perturbations	2
Hadamard-type variation formulas for the eigenvalues of the $\eta$-Laplacian and applications	2
Gelfand’s inverse problem for the graph Laplacian	2
Spectral characteristics of Schrödinger operators generated by product systems	2
Hardy inequalities for large fermionic systems	2
Absence of bound states for quantum walks and CMV matrices via reflections	2
Several isoperimetric inequalities of Dirichlet and Neumann eigenvalues of the Witten Laplacian	2
The wave trace and Birkhoff billiards	2
The density of states and local eigenvalue statistics for random band matrices of fixed width	2
A uniqueness result for the Calderón problem for $U(N)$-connections coupled to spinors	2
Boundary superconductivity in the BCS Model	1

Anderson localization for Schrödinger operators with monotone potentials over circle homeomorphisms	1
A sharp isoperimetric inequality for the second eigenvalue of the Robin plate	1
Improved semiclassical eigenvalue estimates for the Laplacian and the Landau Hamiltonian	1
Limit theorems on the mesoscopic scale for the Anderson model	1
Isospectrum of non-self-adjoint almost-periodic Schrödinger operators	1
Spectral minimal partitions of unbounded metric graphs	1
Scattering theory with both regular and singular perturbations	1
Local perturbations of potential well arrays	1
Stability of Schur’s iterates and fast solution of the discrete integrable NLS	1
Elliptic operators with non-local Wentzell–Robin boundary conditions	1
Sharp semiclassical spectral asymptotics for Schrödinger operators with non-smooth potentials	1
Spectral analysis of Dirac operators for dislocated potentials with a purely imaginary jump	1
Critical points of the Eisenstein series $E_{4}$ and application to the spectrum of the Lamé operator	1
The spectrum of the Poincaré operator in an ellipsoid	1
Spectral instability of random Fredholm operators	1
Upper bound on the second Laplacian eigenvalue on real projective space	1
Morse theory for discrete magnetic operators and nodal count distribution for graphs	1
On existence of minimizers for weighted $L^{p}$-Hardy inequalities on $C^{1,\gamma}$-domains with compact boundary	1
On the spectra of periodic elastic beam lattices: Single-layer graph	1
Zero measure spectrum for multi-frequency Schrödinger operators	1
Sharp Hardy’s inequalities in Hilbert spaces	1
Gap labels and asymptotic gap opening for full shifts	1
Dirac points for twisted bilayer graphene with in-plane magnetic field	1
Lieb–Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line	1
On the spectral properties of the Hilbert transform operator on multi-intervals	1
On the effects of small perturbation on low energy Laplace eigenfunctions	1
Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media	1
Weyl laws for open quantum maps	1
On spatial conditioning of the spectrum of discrete Random Schrödinger operators	1
Reflectionless Dirac operators and canonical systems	1
Scattering theory for $C^{2}$ long-range potentials	1
Isoperimetric inequalities for inner parallel curves	1
Poisson transforms for trees of bounded degree	1
Magnetic Dirac operator in strips submitted to strong magnetic fields	1
The distribution of negative eigenvalues of Schrödinger operators on asymptotically hyperbolic manifolds	1
Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions	1
Bounds on orthogonal polynomials and separation of their zeros	1