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 2022-01-01 to 2026-01-01.)

Article	Citations
Issue Information ‐ TOC	45
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A Liouville‐type theorem for cylindrical cones	39
Integrability of Einstein deformations and desingularizations	37
	31
Uniqueness, regularity, and characteristic flow for a non strictly convex singular variational problem	30
Short‐time existence for the network flow	26
Hydrodynamic large deviations of TASEP	26
	23
Compressible Navier‐Stokes equations with ripped density	23
Issue Information ‐ TOC	20
Issue Information ‐ TOC	20
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	16
Special Lagrangian pair of pants	16
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	16
Analysis of density matrix embedding theory around the non‐interacting limit	16
Free Energy Wells and Overlap Gap Property in Sparse PCA	16
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons	15
Localized and degenerate controls for the incompressible Navier–Stokes system	15
Issue Information ‐ TOC	14
Issue Information ‐ TOC	13
	12
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	12
Vortex Filament Solutions of the Navier‐Stokes Equations	12
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	11

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

	5
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	5
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains	5
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	5