OOIR: Observatory of International Research

Papers

(The TQCC of Research in the Mathematical Sciences 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 2020-11-01 to 2024-11-01.)

Article	Citations
Delay-coordinate maps, coherence, and approximate spectra of evolution operators	17
Free boundary methods and non-scattering phenomena	12
Singularity properties of Lorentzian Darboux surfaces in Lorentz–Minkowski spacetime	11
Stability bounds and almost sure convergence of improved particle swarm optimization methods	10
Mean field control problems for vaccine distribution	10
Approximation properties of deep ReLU CNNs	9
Effective forms of the Sato–Tate conjecture	9
Kolmogorov width decay and poor approximators in machine learning: shallow neural networks, random feature models and neural tangent kernels	9
Generalized Paley graphs and their complete subgraphs of orders three and four	9
An enriched count of the bitangents to a smooth plane quartic curve	8
Analytical formula for conditional expectations of path-dependent product of polynomial and exponential functions of extended Cox–Ingersoll–Ross process	8
Time-periodic measures, random periodic orbits, and the linear response for dissipative non-autonomous stochastic differential equations	8
Modeling illegal logging in Brazil	7
Semiclassical parametrix for the Maxwell equation and applications to the electromagnetic transmission eigenvalues	7
On vanishing near corners of conductive transmission eigenfunctions	7
Laplacian smoothing gradient descent	7
Rates of convergence for Laplacian semi-supervised learning with low labeling rates	7
Explicit transformations of certain Lambert series	7
Computational graph completion	6
Zeros of Jensen polynomials and asymptotics for the Riemann xi function	6
Enhanced diffusivity and skewness of a diffusing tracer in the presence of an oscillating wall	6
Initial investigations of precipitating quasi-geostrophic turbulence with phase changes	6
Appell series over finite fields and Gaussian hypergeometric series	6
Powers of componentwise linear ideals: the Herzog–Hibi–Ohsugi conjecture and related problems	5
Spectral methods for nonlinear functionals and functional differential equations	5

Cohomology of complements of toric arrangements associated with root systems	5
Generalization error of GAN from the discriminator’s perspective	5
On sets of maximally commuting and anticommuting Pauli operators	5
Superimposing theta structure on a generalized modular relation	5
On the modified transmission eigenvalue problem with an artificial metamaterial background	5
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	5
Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals	5
Torsion in differentials and Berger’s conjecture	5
Loop space decompositions of $$(2n-2)$$-connected $$(4n-1)$$-dimensional Poincaré Duality complexes	5
Applications to $${\mathbb {A}}^1$$-enumerative geometry of the $${\mathbb {A}}^1$$-degree	5
Multiplicities and mixed multiplicities of arbitrary filtrations	4
Hilbert series of parallelogram polyominoes	4
Stability for quantitative photoacoustic tomography revisited	4
Harmonic analysis and statistics of the first Galois cohomology group	4
Peacock patterns and resurgence in complex Chern–Simons theory	4
Divisor-bounded multiplicative functions in short intervals	4
Motive of the moduli stack of rational curves on a weighted projective stack	4
Deep limits of residual neural networks	4
Fully hyperbolic convolutional neural networks	4
Approximation of the inverse scattering Steklov eigenvalues and the inverse spectral problem	4
Mocking the u-plane integral	4
Integral representations of rank two false theta functions and their modularity properties	4
Uniqueness of conservative solutions for the Hunter–Saxton equation	4
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves	4
On string functions and double-sum formulas	3
t-SNE, forceful colorings, and mean field limits	3
Extensions of MacMahon’s sums of divisors	3
Uniform approximation rates and metric entropy of shallow neural networks	3
Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ and their applications	3
Trace minmax functions and the radical Laguerre–Pólya class	3
On lattice polarizable cubic fourfolds	3
How does momentum benefit deep neural networks architecture design? A few case studies	3
Spectral $$\varvec{\zeta }$$-functions and $$\varvec{\zeta }$$-regularized functional determinants for regular Sturm–Liouville operators	3
On the simplicial volume and the Euler characteristic of (aspherical) manifolds	3
A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra	3
Split representation of adaptively compressed polarizability operator	3
Asymptotics for the twisted eta-product and applications to sign changes in partitions	3
Semiclassical limit of an inverse problem for the Schrödinger equation	3
The study of certain optimization problems via variational inequalities	3
Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	3