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 2021-12-01 to 2025-12-01.)

Article	Citations
Issue Information ‐ TOC	42
Issue Information ‐ TOC	39
A Liouville‐type theorem for cylindrical cones	38
Integrability of Einstein deformations and desingularizations	36
	31
Uniqueness, regularity, and characteristic flow for a non strictly convex singular variational problem	29
Hydrodynamic large deviations of TASEP	26
Short‐time existence for the network flow	26
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	23
Compressible Navier‐Stokes equations with ripped density	22
	21
Issue Information ‐ TOC	19
Issue Information ‐ TOC	19
Special Lagrangian pair of pants	16
Analysis of density matrix embedding theory around the non‐interacting limit	15
Free Energy Wells and Overlap Gap Property in Sparse PCA	15
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	15
Localized and degenerate controls for the incompressible Navier–Stokes system	15
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	15
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	13
Issue Information ‐ TOC	13
Issue Information ‐ TOC	13
Vortex Filament Solutions of the Navier‐Stokes Equations	12
Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime	12
Fermi isospectrality for discrete periodic Schrödinger operators	12

	12
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	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
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	10
Issue Information ‐ TOC	10
	10
Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	9
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	9
Stability of Hill's spherical vortex	9
Landscape complexity beyond invariance and the elastic manifold	9
Issue Information ‐ TOC	9
The stationary AKPZ equation: Logarithmic superdiffusivity	9
Thermodynamic limit of the first Lee‐Yang zero	9
	8
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	8
	8
Integrability of SLE via conformal welding of random surfaces	8
Regularity for convex viscosity solutions of special Lagrangian equation	8
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	8
Convergence to the planar interface for a nonlocal free‐boundary evolution	8
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	8
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	7
Spectrum of random d‐regular graphs up to the edge	7
Semiconvexity estimates for nonlinear integro‐differential equations	7
Validity of steady Prandtl layer expansions	7
	7
Pearcey universality at cusps of polygonal lozenge tilings	7
Sine‐kernel determinant on two large intervals	7
Issue Information ‐ TOC	7
Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	7
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	6
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	6
Polynomial‐time universality and limitations of deep learning	6
Long‐time correlations for a hard‐sphere gas at equilibrium	6
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	6
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	6
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	6
The Brownian loop measure on Riemann surfaces and applications to length spectra	6
Allen–Cahn solutions with triple junction structure at infinity	6
Fluctuation exponents of the KPZ equation on a large torus	6
	5
Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation	5
	5
Issue Information ‐ TOC	5
On the stabilizing effect of rotation in the 3d Euler equations	5
	5
Issue Information ‐ TOC	5

Issue Information ‐ TOC	5
Magnetic helicity, weak solutions and relaxation of ideal MHD	5
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	5
	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