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 2020-04-01 to 2024-04-01.)

Article	Citations
The Generalization Error of Random Features Regression: Precise Asymptotics and the Double Descent Curve	55
Global Identifiability of Differential Models	38
Global Mild Solutions of the Landau and Non‐Cutoff Boltzmann Equations	36
Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality	22
On the Integrability of the Benjamin‐Ono Equation on the Torus	21
On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equations	20
Space‐Time Localisation for the Dynamic Model	20
Asymptotic Expansions of Solutions of the Yamabe Equation and the σ_k‐Yamabe Equation near Isolated Singular Points	19
Axi‐symmetrization near Point Vortex Solutions for the 2D Euler Equation	19
Transition Threshold for the 3D Couette Flow in Sobolev Space	19
Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms	17
Optimal Transport Based Seismic Inversion:Beyond Cycle Skipping	17
Formation of Shocks for 2D Isentropic Compressible Euler	16
Following the Ground States of Full‐RSB Spherical Spin Glasses	16
Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds	16
For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering	15
A Riemann‐Hilbert Approach to the Lower Tail of the Kardar‐Parisi‐Zhang Equation	14
Global Well‐Posedness of Master Equations for Deterministic Displacement Convex Potential Mean Field Games	14
The Gauss Image Problem	14
On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	13
Well‐Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption	13
Refined Description and Stability for Singular Solutions of the 2D Keller‐Segel System	12
On Admissible Locations of Transonic Shock Fronts for Steady Euler Flows in an Almost Flat Finite Nozzle with Prescribed Receiver Pressure	12
Gromov‐Hausdorff Limits of Kähler Manifolds with Ricci Curvature Bounded Below II	12
Multitime Distribution in Discrete Polynuclear Growth	12

Sobolev Inequalities in Manifolds with Nonnegative Curvature	12
Proof of Modulational Instability of Stokes Waves in Deep Water	11
The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number	11
DLR Equations and Rigidity for the Sine‐Beta Process	11
Inviscid Limit of Vorticity Distributions in the Yudovich Class	11
Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	10
On the Yau‐Tian‐Donaldson Conjecture for Singular Fano Varieties	10
Uniqueness and Nonuniqueness of Steady States of Aggregation‐Diffusion Equations	10
Central Limit Theorem for Linear Eigenvalue Statistics of Non‐Hermitian Random Matrices	9
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	9
Quantitative Estimates for Regular Lagrangian Flows with BV Vector Fields	9
Log‐Sobolev Inequality for the Continuum Sine‐Gordon Model	9
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	9
Spatially Inhomogeneous Evolutionary Games	9
Classification of Generalized Kähler‐Ricci Solitons on Complex Surfaces	8
The Logarithmic Sobolev Inequality for a Submanifold in Euclidean Space	8
Unique Asymptotics of Compact Ancient Solutions to Three‐Dimensional Ricci Flow	8
Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds	8
From 1 to 6: A Finer Analysis of Perturbed Branching Brownian Motion	8
Homogenization, Linearization, and Large‐Scale Regularity for Nonlinear Elliptic Equations	8
On the Convex Geometry of Blind Deconvolution and Matrix Completion	7
Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron	7
Mean‐Field and Classical Limit for the N‐Body Quantum Dynamics with Coulomb Interaction	7
Almost‐Rigidity of Frameworks	7
KAM Theorem with Normal Frequencies of Finite Limit‐Points for Some Shallow Water Equations	7
Vortex Layers of Small Thickness	6
Regularized Stokes Immersed Boundary Problems in Two Dimensions: Well‐Posedness, Singular Limit, and Error Estimates	6
Refined Asymptotic Behavior of Blowup Solutions to a Simplified Chemotaxis System	6
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	6
Linear Stability of Pipe Poiseuille Flow at High Reynolds Number Regime	6
Generalized TAP Free Energy	6
Restricted Percolation Critical Exponents in High Dimensions	6
Large‐Scale Analyticity and Unique Continuation for Periodic Elliptic Equations	6
Real Analytic Local Well‐Posedness for the Triple Deck	6
On the Well‐Posedness of Branched Transportation	6
The Quasi Curvature‐Dimension Condition with Applications to Sub‐Riemannian Manifolds	6
Entropy‐Bounded Solutions to the One‐Dimensional Heat Conductive Compressible Navier‐Stokes Equations with Far Field Vacuum	6
Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two	6
Concentration versus Oscillation Effects in Brittle Damage	6
Quantitative Linearization Results for the Monge‐Ampère Equation	6
The Data‐Driven Schrödinger Bridge	6
Improved Moser‐Trudinger‐Onofri Inequality under Constraints	5
Maximum of the Characteristic Polynomial for a Random Permutation Matrix	5
Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the Three‐Body Problem	5
A High‐Order Integral Equation‐Based Solver for the Time‐Dependent Schrödinger Equation	5
The Regularity of Parametrized Integer Stationary Varifolds in Two Dimensions	5
Formation of Point Shocks for 3D Compressible Euler	5
Sub‐Gaussian Matrices on Sets: Optimal Tail Dependence and Applications	5
The Continuous‐Time Lace Expansion	5
Plateau's Problem as a Singular Limit of Capillarity Problems	5

Maximum and Shape of Interfaces in 3D Ising Crystals	5
On the Relationship Between the Thin Film Equation and Tanner's Law	5
Long‐Time Instability of the Couette Flow in Low Gevrey Spaces	5
Unique Continuation at the Boundary for Harmonic Functions in C¹ Domains and Lipschitz Domains with Small Constant	5
Shock Formation and Vorticity Creation for 3d Euler	4
Emergence of Concentration Effects in the Variational Analysis of theN‐Clock Model	4
Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D	4
Fast Computation of Orthogonal Systems with a Skew‐Symmetric Differentiation Matrix	4
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	4
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	4
Minimizers for the Thin One‐Phase Free Boundary Problem	4
Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation	4
Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds	4
Optimal Symplectic Connections on Holomorphic Submersions	4
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	4
Birkhoff Normal Form and Long Time Existence for Periodic Gravity Water Waves	4
Log‐Sobolev inequality for the φ24$\varphi ^4_2$ and φ34$\varphi ^4_3$ measures	4
Maximal Hypersurfaces over Exterior Domains	4
C² Regularity of the Surface Tension for the ∇ϕ Interface Model	4
Likelihood Maximization and Moment Matching in Low SNR Gaussian Mixture Models	4
Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems	4
A Remark on the Concentration Compactness Principle in Critical Dimension	4