OOIR: Observatory of International Research

Papers

(The TQCC of Communications on Pure and Applied Mathematics is 6. 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
Issue Information ‐ TOC	72
Issue Information ‐ TOC	39
	33
Hydrodynamic large deviations of TASEP	26
	25
Compressible Navier‐Stokes equations with ripped density	24
Uniqueness, regularity, and characteristic flow for a non strictly convex singular variational problem	24
A Liouville‐type theorem for cylindrical cones	21
Short‐time existence for the network flow	20
Integrability of Einstein deformations and desingularizations	20
Issue Information ‐ TOC	18
Issue Information ‐ TOC	18
Special Lagrangian pair of pants	17
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons	16
Localized and degenerate controls for the incompressible Navier–Stokes system	16
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic	15
Analysis of density matrix embedding theory around the non‐interacting limit	15
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	15
Issue Information ‐ TOC	15
Free Energy Wells and Overlap Gap Property in Sparse PCA	15
About Wess–Zumino–Witten Equation and Harder–Narasimhan Potentials	13
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	13
Vortex Filament Solutions of the Navier‐Stokes Equations	13
Fermi isospectrality for discrete periodic Schrödinger operators	12
	12

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

Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	6
Optimal Convergence Rates in Multiscale Elliptic Homogenization	6