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 2021-02-01 to 2025-02-01.)

Article	Citations
Stability of Schur’s iterates and fast solution of the discrete integrable NLS	17
Anderson localization for a generalized Maryland model with potentials given by skew shifts	16
Lower bound of Schrödinger operators on Riemannian manifolds	12
Sobolev improvements on sharp Rellich inequalities	10
Integral representations of isotropic semiclassical functions and applications	9
Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets	8
Eigenvalues of singular measures and Connes’ noncommutative integration	8
Generalised norm resolvent convergence: comparison of different concepts	8
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds	7
Deformation of the spectrum for Darboux–Treibich–Verdier potential along $\operatorname{Re}\tau=\frac{1}{2}$	7
Poisson transforms for trees of bounded degree	7
The wave trace and Birkhoff billiards	7
Berezin–Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian	6
Morse theory for discrete magnetic operators and nodal count distribution for graphs	6
Erratum to “Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains”	6
Analysis on the derivative of the discriminant polynomial for the critical almost Mathieu operator	6
Pauli Hamiltonians with an Aharonov–Bohm flux	6
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary	6
Exponential moments for disk counting statistics at the hard edge of random normal matrices	5
Counting eigenvalues of Schrödinger operators using the landscape function	5
Decorrelation estimates for random Schrödinger operators with non rank one perturbations	4
A growth estimate for the monodromy matrix of a canonical system	4
Mixed data in inverse spectral problems for the Schrödinger operators	4
On the spectrum of the periodic focusing Zakharov–Shabat operator	4
Invariant subspaces of elliptic systems II: Spectral theory	4

The fate of Landau levels under $\delta$-interactions	4
Bounds on orthogonal polynomials and separation of their zeros	3
Discrete approximations to Dirac operators and norm resolvent convergence	3
A Faber–Krahn inequality for the Riesz potential operator for triangles and quadrilaterals	3
Maximal estimates for the Fokker–Planck operator with magnetic field	3
A semiclassical Birkhoff normal form for symplectic magnetic wells	3
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling	3
Quantum ergodicity for pseudo-Laplacians	3
On Lieb–Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators	3
Nodal domain theorems for $p$-Laplacians on signed graphs	3
Spectral fluctuations for the multi-dimensional Anderson model	3
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac–Coulomb operators	3
The harmonic $H^{\infty}$-functional calculus based on the $S$-spectrum	3
Spectral instabilities: variations on a theme loved by Brian Davies	3
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators	2
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum	2
Bound states in bent soft waveguides	2
The density of states of 1D random band matrices via a supersymmetric transfer operator	2
Hadamard-type variation formulas for the eigenvalues of the $\eta$-Laplacian and applications	2
Spectral analysis on Barlow and Evans’ projective limit fractals	2
Asymptotics of Robin eigenvalues on sharp infinite cones	2
The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates	2
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality	2
Spectral minimal partitions of unbounded metric graphs	2
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators	2
The density of states and local eigenvalue statistics for random band matrices of fixed width	2
A uniqueness result for the Calderón problem for $U(N)$-connections coupled to spinors	2
$2$-nodal domain theorems for higher-dimensional circle bundles	2
On the first trace formula for Schrödinger operators	2
Inequalities between Neumann and Dirichlet eigenvalues of Schrödinger operators	2
Resolvent bounds for Lipschitz potentials in dimension two and higher with singularities at the origin	2
Lieb–Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line	2
Mikhail Shubin (1944–2020)	2
On operator error estimates for homogenization of hyperbolic systems with periodic coefficients	2
Ballistic transport for limit-periodic Schrödinger operators in one dimension	2
Spectral invariants of Dirichlet-to-Neumann operators on surfaces	2
Ergodic Schrödinger operators in the infinite measure setting	2
Semiclassical Gevrey operators and magnetic translations	2
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three	2
Remarks on discrete Dirac operators and their continuum limits	2