OOIR: Observatory of International Research

Papers

(The TQCC of Communications on Pure and Applied Mathematics is 5. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Issue Information ‐ TOC	60
Issue Information ‐ TOC	49
Integrability of Einstein deformations and desingularizations	45
	41
Hydrodynamic large deviations of TASEP	35
A Liouville‐type theorem for cylindrical cones	34
Short‐time existence for the network flow	30
	27
Uniqueness, regularity, and characteristic flow for a non strictly convex singular variational problem	26
Compressible Navier‐Stokes equations with ripped density	25
	24
Issue Information ‐ TOC	23
Issue Information ‐ TOC	23
Special Lagrangian pair of pants	21
Free Energy Wells and Overlap Gap Property in Sparse PCA	20
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	20
Analysis of density matrix embedding theory around the non‐interacting limit	18
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic	15
Issue Information ‐ TOC	15
Localized and degenerate controls for the incompressible Navier–Stokes system	15
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons	15
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	14
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	14
Vortex Filament Solutions of the Navier‐Stokes Equations	14
	13

About Wess–Zumino–Witten Equation and Harder–Narasimhan Potentials	12
Fermi isospectrality for discrete periodic Schrödinger operators	12
Issue Information ‐ TOC	11
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Boundary conditions and universal finite‐size scaling for the hierarchical \|φ\|4$\|\varphi \|^4$ model in dimensions 4 and higher	10
Stability of Hill's spherical vortex	10
Issue Information ‐ TOC	10
Landscape complexity beyond invariance and the elastic manifold	10
Understanding the training of infinitely deep and wide ResNets with conditional optimal transport	10
	10
The stationary AKPZ equation: Logarithmic superdiffusivity	10
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	10
Convergence to the planar interface for a nonlocal free‐boundary evolution	9
Thermodynamic limit of the first Lee‐Yang zero	9
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	9
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	9
Regularity for convex viscosity solutions of special Lagrangian equation	9
Integrability of SLE via conformal welding of random surfaces	9
	9
Semiconvexity estimates for nonlinear integro‐differential equations	8
Validity of steady Prandtl layer expansions	8
Pearcey universality at cusps of polygonal lozenge tilings	8
The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound	8
Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	8
	8
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	8
Sine‐kernel determinant on two large intervals	7
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	7
Issue Information ‐ TOC	7
Spectrum of random d‐regular graphs up to the edge	7
Polynomial‐time universality and limitations of deep learning	7
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	7
	7
Exchangeable Arrays and Integrable Systems for Characteristic Polynomials of Random Matrices	7
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	6
Fluctuation exponents of the KPZ equation on a large torus	6
Long‐time correlations for a hard‐sphere gas at equilibrium	6
	6
Allen–Cahn solutions with triple junction structure at infinity	6
The Brownian loop measure on Riemann surfaces and applications to length spectra	6
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	6
	6
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	6
Eventual regularization of fractional mean curvature flow	6
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	6
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	5
Magnetic helicity, weak solutions and relaxation of ideal MHD	5

Optimal Convergence Rates in Multiscale Elliptic Homogenization	5
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	5
Issue Information ‐ TOC	5
On the stabilizing effect of rotation in the 3d Euler equations	5
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains	5
Issue Information ‐ TOC	5
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	5
Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation	5