OOIR: Observatory of International Research

Papers

(The TQCC of Communications on Pure and Applied Mathematics is 3. 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 2021-05-01 to 2025-05-01.)

Article	Citations
Short‐time existence for the network flow	108
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Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	25
Integrability of Einstein deformations and desingularizations	21
A Liouville‐type theorem for cylindrical cones	18
Hydrodynamic large deviations of TASEP	17
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On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	17
Compressible Navier‐Stokes equations with ripped density	17
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Special Lagrangian pair of pants	13
Free Energy Wells and Overlap Gap Property in Sparse PCA	12
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	12
Analysis of density matrix embedding theory around the non‐interacting limit	11
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	10
Localized and degenerate controls for the incompressible Navier–Stokes system	10
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	10
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The Continuous‐Time Lace Expansion	9
Vortex Filament Solutions of the Navier‐Stokes Equations	9
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	9

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