OOIR: Observatory of International Research

Papers

(The TQCC of Communications on Pure and Applied Mathematics is 4. 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 2021-06-01 to 2025-06-01.)

Article	Citations
Issue Information ‐ TOC	112
Issue Information ‐ TOC	32
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	29
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Integrability of Einstein deformations and desingularizations	26
A Liouville‐type theorem for cylindrical cones	23
Short‐time existence for the network flow	19
Issue Information ‐ TOC	19
On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	18
Compressible Navier‐Stokes equations with ripped density	18
Hydrodynamic large deviations of TASEP	18
Issue Information ‐ TOC	17
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Localized and degenerate controls for the incompressible Navier–Stokes system	13
Special Lagrangian pair of pants	13
Free Energy Wells and Overlap Gap Property in Sparse PCA	13
Analysis of density matrix embedding theory around the non‐interacting limit	12
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	11
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	11
Issue Information ‐ TOC	10
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	10
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	10
Issue Information ‐ TOC	10
Fermi isospectrality for discrete periodic Schrödinger operators	9

Moderately Discontinuous Homology	9
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	9
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	8
Vortex Filament Solutions of the Navier‐Stokes Equations	8
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Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime	8
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The Continuous‐Time Lace Expansion	8
Issue Information ‐ TOC	8
Issue Information ‐ TOC	7
Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	7
The stationary AKPZ equation: Logarithmic superdiffusivity	7
	7
Landscape complexity beyond invariance and the elastic manifold	7
Spectrum of random d‐regular graphs up to the edge	6
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	6
Integrability of SLE via conformal welding of random surfaces	6
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	6
Validity of steady Prandtl layer expansions	6
Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	6
Convergence to the planar interface for a nonlocal free‐boundary evolution	6
Stability of Hill's spherical vortex	6
Thermodynamic limit of the first Lee‐Yang zero	6
Semiconvexity estimates for nonlinear integro‐differential equations	6
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	6
Regularity for convex viscosity solutions of special Lagrangian equation	6
Boundary conditions and universal finite‐size scaling for the hierarchical \|φ\|4$\|\varphi \|^4$ model in dimensions 4 and higher	6
Issue Information ‐ TOC	6
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	6
Pearcey universality at cusps of polygonal lozenge tilings	6
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Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	5
Allen–Cahn solutions with triple junction structure at infinity	5
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	5
Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution	5
Fluctuation exponents of the KPZ equation on a large torus	5
Polynomial‐time universality and limitations of deep learning	5
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	5
Sine‐kernel determinant on two large intervals	5
	5
Issue Information ‐ TOC	5
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	5
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	4
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Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	4
Issue Information ‐ TOC	4
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Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	4
Issue Information ‐ TOC	4
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Magnetic helicity, weak solutions and relaxation of ideal MHD	4
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	4
The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number	4
Long‐time correlations for a hard‐sphere gas at equilibrium	4
On the stabilizing effect of rotation in the 3d Euler equations	4