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 2021-08-01 to 2025-08-01.)

Article	Citations
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling	18
Lower bound of Schrödinger operators on Riemannian manifolds	15
Integral representations of isotropic semiclassical functions and applications	11
The fate of Landau levels under $\delta$-interactions	9
A growth estimate for the monodromy matrix of a canonical system	9
Spectral fluctuations for the multi-dimensional Anderson model	9
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators	8
Discrete approximations to Dirac operators and norm resolvent convergence	8
Ballistic transport for limit-periodic Schrödinger operators in one dimension	7
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three	7
Eigenvalue bounds for perturbed periodic Dirac operators	7
Inertia of Kraus matrices	6
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
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations	5
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript	5
Dimitri Rauelevich Yafaev (1948–2024)	5
Lowest energy band function for magnetic steps	5
Spectral convergence of high-dimensional spheres to Gaussian spaces	5
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces	5
Failure of $L^p$ symmetry of zonal spherical harmonics	5
The Hartree functional in a double well	5
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
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
Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles	4
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms	4
Spectral shift for relative Schatten class perturbations	4
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type	4
Quantitative magnetic isoperimetric inequality	4
Sobolev improvements on sharp Rellich inequalities	3
Eigenvalues of singular measures and Connes’ noncommutative integration	3
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality	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
$2$-nodal domain theorems for higher-dimensional circle bundles	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
Pauli Hamiltonians with an Aharonov–Bohm flux	3
Semiclassical Gevrey operators and magnetic translations	3
Spectral theory of the thermal Hamiltonian: 1D case	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
Universal behavior of the BCS energy gap	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
Absence of bound states for quantum walks and CMV matrices via reflections	2
Spectral summability for the quartic oscillator with applications to the Engel group	2
Eigenfunction asymptotics and spectral rigidity of the ellipse	2
On the ground state of lattice Schrödinger operators	2
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators	2
Tunneling effect in two dimensions with vanishing magnetic fields	2
Hardy inequalities for large fermionic systems	2
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs	2
Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds	2
Quantitative propagation of smallness and spectral estimates for the Schrödinger operator	2
Manifolds whose Weyl spectral asymptotics have small but not tiny remainders	2
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations	2
Inertia of Kwong matrices	2
Spectral characteristics of Schrödinger operators generated by product systems	2
Gelfand’s inverse problem for the graph Laplacian	2