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 2021-08-01 to 2025-08-01.)

Article	Citations
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Integrability of Einstein deformations and desingularizations	32
A Liouville‐type theorem for cylindrical cones	28
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Hydrodynamic large deviations of TASEP	23
Compressible Navier‐Stokes equations with ripped density	21
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	20
Short‐time existence for the network flow	20
On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	19
Issue Information ‐ TOC	18
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Special Lagrangian pair of pants	15
Localized and degenerate controls for the incompressible Navier–Stokes system	15
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	14
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	13
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	12
Free Energy Wells and Overlap Gap Property in Sparse PCA	12
Analysis of density matrix embedding theory around the non‐interacting limit	12
Issue Information ‐ TOC	11
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First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	11
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	11
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The Continuous‐Time Lace Expansion	10
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	10
Vortex Filament Solutions of the Navier‐Stokes Equations	10
Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime	10
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Fermi isospectrality for discrete periodic Schrödinger operators	9
Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	9
Issue Information ‐ TOC	9
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Landscape complexity beyond invariance and the elastic manifold	8
Issue Information ‐ TOC	8
The stationary AKPZ equation: Logarithmic superdiffusivity	8
Understanding the training of infinitely deep and wide ResNets with conditional optimal transport	8
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	8
Stability of Hill's spherical vortex	8
Boundary conditions and universal finite‐size scaling for the hierarchical \|φ\|4$\|\varphi \|^4$ model in dimensions 4 and higher	8
Thermodynamic limit of the first Lee‐Yang zero	7
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	7
Regularity for convex viscosity solutions of special Lagrangian equation	7
Semiconvexity estimates for nonlinear integro‐differential equations	7
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	7
Integrability of SLE via conformal welding of random surfaces	7
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Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	7
Convergence to the planar interface for a nonlocal free‐boundary evolution	7
Pearcey universality at cusps of polygonal lozenge tilings	7
Validity of steady Prandtl layer expansions	7
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	7
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	6
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Spectrum of random d‐regular graphs up to the edge	6
Fluctuation exponents of the KPZ equation on a large torus	6
Sine‐kernel determinant on two large intervals	6
Polynomial‐time universality and limitations of deep learning	6
Issue Information ‐ TOC	5
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	5
The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number	5
On the stabilizing effect of rotation in the 3d Euler equations	5
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	5
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	5
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	5
Long‐time correlations for a hard‐sphere gas at equilibrium	5
Allen–Cahn solutions with triple junction structure at infinity	5
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	5
The Brownian loop measure on Riemann surfaces and applications to length spectra	5
Issue Information ‐ TOC	5
Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation	4
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Isotropic‐Nematic Phase Transition and Liquid Crystal Droplets	4
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Magnetic helicity, weak solutions and relaxation of ideal MHD	4
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	4
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations	4
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	4
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Issue Information ‐ TOC	4
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Conformal covariance of connection probabilities and fields in 2D critical percolation	4
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