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 2021-05-01 to 2025-05-01.)

Article	Citations
Discrete approximations to Dirac operators and norm resolvent convergence	15
Lower bound of Schrödinger operators on Riemannian manifolds	11
Integral representations of isotropic semiclassical functions and applications	10
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling	9
A growth estimate for the monodromy matrix of a canonical system	8
Spectral fluctuations for the multi-dimensional Anderson model	8
The fate of Landau levels under $\delta$-interactions	8
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators	7
Ballistic transport for limit-periodic Schrödinger operators in one dimension	7
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three	7
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations	6
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators	6
Lowest energy band function for magnetic steps	5
Failure of $L^p$ symmetry of zonal spherical harmonics	5
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer	5
Spectral convergence of high-dimensional spheres to Gaussian spaces	5
Inertia of Kraus matrices	5
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators	4
Quantitative magnetic isoperimetric inequality	4
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces	4
Three-term asymptotic formula for large eigenvalues of the two-photon quantum Rabi model	4
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis	4
The Hartree functional in a double well	4
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms	4
Dimitri Rauelevich Yafaev (1948–2024)	4

The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript	4
Spectral shift for relative Schatten class perturbations	3
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type	3
A semiclassical Birkhoff normal form for symplectic magnetic wells	3
Pauli Hamiltonians with an Aharonov–Bohm flux	3
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality	3
Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles	3
Sobolev improvements on sharp Rellich inequalities	3
Inequalities between Neumann and Dirichlet eigenvalues of Schrödinger operators	3
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds	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
Periodic Jacobi operators with complex coefficients	3
Eigenvalues of singular measures and Connes’ noncommutative integration	3
Semiclassical Gevrey operators and magnetic translations	3
$2$-nodal domain theorems for higher-dimensional circle bundles	3
Spectral summability for the quartic oscillator with applications to the Engel group	2
The $L^{p}$-boundedness of wave operators for fourth order Schrödinger operators on $\R^{4}$	2
Inertia of Kwong matrices	2
Spectral theory of the thermal Hamiltonian: 1D case	2
The Friedrichs extension of a class of discrete symplectic systems	2
Tunneling effect in two dimensions with vanishing magnetic fields	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
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs	2
Spectral characteristics of Schrödinger operators generated by product systems	2
Gelfand’s inverse problem for the graph Laplacian	2
Anderson localization for a generalized Maryland model with potentials given by skew shifts	2
Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds	2
A quantitative formula for the imaginary part of a Weyl coefficient	2
Universal behavior of the BCS energy gap	2
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators	2
Hardy inequalities for large fermionic systems	2
Generalised norm resolvent convergence: comparison of different concepts	2
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs	2
Absence of bound states for quantum walks and CMV matrices via reflections	2
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations	2
Eigenfunction asymptotics and spectral rigidity of the ellipse	2
Efficiency and localisation for the first Dirichlet eigenfunction	2