OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Spectral Theory is 2. 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 2021-06-01 to 2025-06-01.)

Article	Citations
Discrete approximations to Dirac operators and norm resolvent convergence	16
Lower bound of Schrödinger operators on Riemannian manifolds	13
Integral representations of isotropic semiclassical functions and applications	10
A growth estimate for the monodromy matrix of a canonical system	9
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling	9
The fate of Landau levels under $\delta$-interactions	8
Spectral fluctuations for the multi-dimensional Anderson model	8
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three	7
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators	7
Ballistic transport for limit-periodic Schrödinger operators in one dimension	7
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators	6
Inertia of Kraus matrices	6
Eigenvalue bounds for perturbed periodic Dirac operators	6
Lowest energy band function for magnetic steps	6
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer	5
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript	5
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations	5
Failure of $L^p$ symmetry of zonal spherical harmonics	5
Spectral convergence of high-dimensional spheres to Gaussian spaces	5
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces	5
Spectral shift for relative Schatten class perturbations	4
Three-term asymptotic formula for large eigenvalues of the two-photon quantum Rabi model	4
Spectral estimates of dynamically-defined and amenable operator families	4
Quantitative magnetic isoperimetric inequality	4
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis	4

Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators	4
Periodic Jacobi operators with complex coefficients	4
Dimitri Rauelevich Yafaev (1948–2024)	4
The Hartree functional in a double well	4
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality	3
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds	3
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type	3
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds	3
Pauli Hamiltonians with an Aharonov–Bohm flux	3
Semiclassical Gevrey operators and magnetic translations	3
A semiclassical Birkhoff normal form for symplectic magnetic wells	3
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms	3
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary	3
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators	3
Sobolev improvements on sharp Rellich inequalities	3
Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles	3
Eigenvalues of singular measures and Connes’ noncommutative integration	3
Inequalities between Neumann and Dirichlet eigenvalues of Schrödinger operators	3
On the ground state of lattice Schrödinger operators	2
Manifolds whose Weyl spectral asymptotics have small but not tiny remainders	2
Quantitative propagation of smallness and spectral estimates for the Schrödinger operator	2
Efficiency and localisation for the first Dirichlet eigenfunction	2
Tunneling effect in two dimensions with vanishing magnetic fields	2
Spectral theory of the thermal Hamiltonian: 1D case	2
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs	2
The $L^{p}$-boundedness of wave operators for fourth order Schrödinger operators on $\R^{4}$	2
A quantitative formula for the imaginary part of a Weyl coefficient	2
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs	2
$2$-nodal domain theorems for higher-dimensional circle bundles	2
Spectral summability for the quartic oscillator with applications to the Engel group	2
Gelfand’s inverse problem for the graph Laplacian	2
Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds	2
Hardy inequalities for large fermionic systems	2
Eigenfunction asymptotics and spectral rigidity of the ellipse	2
Universal behavior of the BCS energy gap	2
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations	2
Spectral characteristics of Schrödinger operators generated by product systems	2
On the number of bound states for fractional Schrödinger operators with critical and super-critical exponent	2
The Friedrichs extension of a class of discrete symplectic systems	2
Inertia of Kwong matrices	2