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 2022-06-01 to 2026-06-01.)

Article	Citations
Issue Information ‐ TOC	61
Issue Information ‐ TOC	51
Integrability of Einstein deformations and desingularizations	48
	41
Short‐time existence for the network flow	36
A Liouville‐type theorem for cylindrical cones	31
Uniqueness, regularity, and characteristic flow for a non strictly convex singular variational problem	26
Compressible Navier‐Stokes equations with ripped density	24
	24
Hydrodynamic large deviations of TASEP	23
	22
Issue Information ‐ TOC	20
Issue Information ‐ TOC	18
Special Lagrangian pair of pants	16
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	15
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic	15
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons	15
Free Energy Wells and Overlap Gap Property in Sparse PCA	15
Analysis of density matrix embedding theory around the non‐interacting limit	15
Issue Information ‐ TOC	14
Localized and degenerate controls for the incompressible Navier–Stokes system	14
Vortex Filament Solutions of the Navier‐Stokes Equations	12
	12
About Wess–Zumino–Witten Equation and Harder–Narasimhan Potentials	12
Fermi isospectrality for discrete periodic Schrödinger operators	11

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	11
	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	10
	10
Understanding the training of infinitely deep and wide ResNets with conditional optimal transport	10
	10
Issue Information ‐ TOC	10
Landscape complexity beyond invariance and the elastic manifold	10
The stationary AKPZ equation: Logarithmic superdiffusivity	10
	10
Stability of Hill's spherical vortex	10
Convergence to the planar interface for a nonlocal free‐boundary evolution	9
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	9
Thermodynamic limit of the first Lee‐Yang zero	9
Issue Information ‐ TOC	9
Regularity for convex viscosity solutions of special Lagrangian equation	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
Semiconvexity estimates for nonlinear integro‐differential equations	8
Integrability of SLE via conformal welding of random surfaces	8
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	8
	8
Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	8
	8
The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound	7
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	7
Issue Information ‐ TOC	7
Spectrum of random d‐regular graphs up to the edge	7
Validity of steady Prandtl layer expansions	7
Liquid Drop Model for Nuclear Matter in the Low Density Limit	7
Polynomial‐time universality and limitations of deep learning	7
Sine‐kernel determinant on two large intervals	7
Pearcey universality at cusps of polygonal lozenge tilings	7
	7
Eventual regularization of fractional mean curvature flow	7
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	6
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	6
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	6
The Brownian loop measure on Riemann surfaces and applications to length spectra	6
Fluctuation exponents of the KPZ equation on a large torus	6
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	6
Long‐time correlations for a hard‐sphere gas at equilibrium	6
Allen–Cahn solutions with triple junction structure at infinity	6
Exchangeable Arrays and Integrable Systems for Characteristic Polynomials of Random Matrices	6
	5
	5
Magnetic helicity, weak solutions and relaxation of ideal MHD	5
	5
Issue Information ‐ TOC	5

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