OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Spectral Theory is 3. 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 2022-08-01 to 2026-08-01.)

Article	Citations
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling	13
Spectral fluctuations for the multi-dimensional Anderson model	12
Lower bound of Schrödinger operators on Riemannian manifolds	11
Discrete approximations to Dirac operators and norm resolvent convergence	11
A growth estimate for the monodromy matrix of a canonical system	11
Surfaces with commuting boundary Laplacian and Dirichlet-to-Neumann map	10
The fate of Landau levels under $\delta$-interactions	10
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators	10
Ballistic transport for limit-periodic Schrödinger operators in one dimension	8
Eigenvalue bounds for perturbed periodic Dirac operators	8
Inertia of Kraus matrices	7
Lowest energy band function for magnetic steps	7
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators	7
Spectral properties of symmetrized AMV operators	6
Reproving Friedlander’s inequality with the de Rham complex	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	6
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators	5
Dimitri Rauelevich Yafaev (1948–2024)	5
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
Essential norm resolvent estimates and essential numerical range	5
Failure of $L^p$ symmetry of zonal spherical harmonics	5
Construction of Toda flow via Sato–Segal–Wilson theory	5
Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles	4

Quantitative magnetic isoperimetric inequality	4
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds	4
Pauli Hamiltonians with an Aharonov–Bohm flux	4
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms	4
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis	4
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary	4
Universal methods for nonlinear spectral problems	4
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators	4
Spectral shift for relative Schatten class perturbations	4
Spectral estimates of dynamically-defined and amenable operator families	4
Quasiballistic transport for discrete one-dimensional quasiperiodic Schrödinger operators	4
Sobolev improvements on sharp Rellich inequalities	4
A semiclassical Birkhoff normal form for symplectic magnetic wells	4
Quantitative propagation of smallness and spectral estimates for the Schrödinger operator	3
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations	3
A microlocal Cauchy problem through a crossing point of Hamiltonian flows	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
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds	3
Spectral summability for the quartic oscillator with applications to the Engel group	3
Inverse spectral problem for Hamiltonians of interacting fermionic systems in almost-periodic media	3
On the ground state of lattice Schrödinger operators	3
Optimal Runge approximation for damped nonlocal wave equations and simultaneous determination results	3
Nodal count for a random signing of a graph with disjoint cycles	3
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs	3
Manifolds whose Weyl spectral asymptotics have small but not tiny remainders	3
Universal behavior of the BCS energy gap	3
Tunneling effect in two dimensions with vanishing magnetic fields	3
A hot spots theorem for the mixed eigenvalue problem with small Dirichlet region	3
$2$-nodal domain theorems for higher-dimensional circle bundles	3
A quantitative formula for the imaginary part of a Weyl coefficient	3