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 2021-09-01 to 2025-09-01.)

Article	Citations
	33
Issue Information ‐ TOC	33
Integrability of Einstein deformations and desingularizations	33
A Liouville‐type theorem for cylindrical cones	30
Issue Information ‐ TOC	25
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	25
Compressible Navier‐Stokes equations with ripped density	22
On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	22
Short‐time existence for the network flow	22
Hydrodynamic large deviations of TASEP	22
Issue Information ‐ TOC	20
Issue Information ‐ TOC	19
	18
Special Lagrangian pair of pants	17
Localized and degenerate controls for the incompressible Navier–Stokes system	15
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	15
Free Energy Wells and Overlap Gap Property in Sparse PCA	14
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	13
Analysis of density matrix embedding theory around the non‐interacting limit	13
Issue Information ‐ TOC	12
Issue Information ‐ TOC	12
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	12
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	12
Vortex Filament Solutions of the Navier‐Stokes Equations	11
	11

Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	11
Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime	10
Fermi isospectrality for discrete periodic Schrödinger operators	9
	9
Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	9
	9
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	9
Issue Information ‐ TOC	9
Issue Information ‐ TOC	9
The Continuous‐Time Lace Expansion	9
	9
Understanding the training of infinitely deep and wide ResNets with conditional optimal transport	9
Issue Information ‐ TOC	8
Boundary conditions and universal finite‐size scaling for the hierarchical \|φ\|4$\|\varphi \|^4$ model in dimensions 4 and higher	8
Stability of Hill's spherical vortex	8
Landscape complexity beyond invariance and the elastic manifold	8
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	8
The stationary AKPZ equation: Logarithmic superdiffusivity	8
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	7
Validity of steady Prandtl layer expansions	7
Thermodynamic limit of the first Lee‐Yang zero	7
Integrability of SLE via conformal welding of random surfaces	7
Pearcey universality at cusps of polygonal lozenge tilings	7
Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	7
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	7
Regularity for convex viscosity solutions of special Lagrangian equation	7
	7
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	7
Convergence to the planar interface for a nonlocal free‐boundary evolution	7
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	6
	6
Sine‐kernel determinant on two large intervals	6
Allen–Cahn solutions with triple junction structure at infinity	6
Semiconvexity estimates for nonlinear integro‐differential equations	6
Spectrum of random d‐regular graphs up to the edge	6
Polynomial‐time universality and limitations of deep learning	6
Issue Information ‐ TOC	5
Fluctuation exponents of the KPZ equation on a large torus	5
The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number	5
	5
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	5
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	5
Long‐time correlations for a hard‐sphere gas at equilibrium	5
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	5
The Brownian loop measure on Riemann surfaces and applications to length spectra	5
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	5
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	5
Issue Information ‐ TOC	5
Issue Information ‐ TOC	5
On the stabilizing effect of rotation in the 3d Euler equations	4

Issue Information ‐ TOC	4
Issue Information ‐ TOC	4
	4
Magnetic helicity, weak solutions and relaxation of ideal MHD	4
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	4
	4
	4
	4
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	4
Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation	4
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations	4
	4
	4