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 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
A growth estimate for the monodromy matrix of a canonical system	9
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
Eigenvalue bounds for perturbed periodic Dirac operators	8
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators	8
Ballistic transport for limit-periodic Schrödinger operators in one dimension	7
Inertia of Kraus matrices	7
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations	7
Reproving Friedlander’s inequality with the de Rham complex	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
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
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
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

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
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
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
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
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