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 2020-05-01 to 2024-05-01.)

Article	Citations
The Generalization Error of Random Features Regression: Precise Asymptotics and the Double Descent Curve	58
Global Mild Solutions of the Landau and Non‐Cutoff Boltzmann Equations	37
Global Identifiability of Differential Models	37
Axi‐symmetrization near Point Vortex Solutions for the 2D Euler Equation	22
Transition Threshold for the 3D Couette Flow in Sobolev Space	22
On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equations	21
Space‐Time Localisation for the Dynamic Model	21
Asymptotic Expansions of Solutions of the Yamabe Equation and the σ_k‐Yamabe Equation near Isolated Singular Points	21
Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds	18
Optimal Transport Based Seismic Inversion:Beyond Cycle Skipping	18
Formation of Shocks for 2D Isentropic Compressible Euler	18
Following the Ground States of Full‐RSB Spherical Spin Glasses	17
Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms	17
A Riemann‐Hilbert Approach to the Lower Tail of the Kardar‐Parisi‐Zhang Equation	16
On Admissible Locations of Transonic Shock Fronts for Steady Euler Flows in an Almost Flat Finite Nozzle with Prescribed Receiver Pressure	16
Global Well‐Posedness of Master Equations for Deterministic Displacement Convex Potential Mean Field Games	15
For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering	15
Sobolev Inequalities in Manifolds with Nonnegative Curvature	14
The Gauss Image Problem	14
On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	14
Refined Description and Stability for Singular Solutions of the 2D Keller‐Segel System	13
Well‐Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption	13
Multitime Distribution in Discrete Polynuclear Growth	12
Gromov‐Hausdorff Limits of Kähler Manifolds with Ricci Curvature Bounded Below II	12
The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number	12

Proof of Modulational Instability of Stokes Waves in Deep Water	11
DLR Equations and Rigidity for the Sine‐Beta Process	11
Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	11
Uniqueness and Nonuniqueness of Steady States of Aggregation‐Diffusion Equations	11
Inviscid Limit of Vorticity Distributions in the Yudovich Class	11
On the Yau‐Tian‐Donaldson Conjecture for Singular Fano Varieties	10
Log‐Sobolev Inequality for the Continuum Sine‐Gordon Model	9
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
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	9
Unique Asymptotics of Compact Ancient Solutions to Three‐Dimensional Ricci Flow	9
Spatially Inhomogeneous Evolutionary Games	9
Quantitative Estimates for Regular Lagrangian Flows with BV Vector Fields	9
Classification of Generalized Kähler‐Ricci Solitons on Complex Surfaces	8
Homogenization, Linearization, and Large‐Scale Regularity for Nonlinear Elliptic Equations	8
Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds	8
The Logarithmic Sobolev Inequality for a Submanifold in Euclidean Space	8
Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron	8
Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two	7
On the Convex Geometry of Blind Deconvolution and Matrix Completion	7
The Data‐Driven Schrödinger Bridge	7
Formation of Point Shocks for 3D Compressible Euler	7
Mean‐Field and Classical Limit for the N‐Body Quantum Dynamics with Coulomb Interaction	7
KAM Theorem with Normal Frequencies of Finite Limit‐Points for Some Shallow Water Equations	7
Almost‐Rigidity of Frameworks	7
Concentration versus Oscillation Effects in Brittle Damage	7
Quantitative Linearization Results for the Monge‐Ampère Equation	7
Linear Stability of Pipe Poiseuille Flow at High Reynolds Number Regime	7
On the Well‐Posedness of Branched Transportation	6
Generalized TAP Free Energy	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
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
Large‐Scale Analyticity and Unique Continuation for Periodic Elliptic Equations	6
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	6
Vortex Layers of Small Thickness	6
Restricted Percolation Critical Exponents in High Dimensions	6
Long‐Time Instability of the Couette Flow in Low Gevrey Spaces	6
Likelihood Maximization and Moment Matching in Low SNR Gaussian Mixture Models	5
Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the Three‐Body Problem	5
Shock Formation and Vorticity Creation for 3d Euler	5
C² Regularity of the Surface Tension for the ∇ϕ Interface Model	5
The Regularity of Parametrized Integer Stationary Varifolds in Two Dimensions	5
Birkhoff Normal Form and Long Time Existence for Periodic Gravity Water Waves	5
Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds	5
On the Relationship Between the Thin Film Equation and Tanner's Law	5
A High‐Order Integral Equation‐Based Solver for the Time‐Dependent Schrödinger Equation	5
Chord measures in integral geometry and their Minkowski problems	5
Unique Continuation at the Boundary for Harmonic Functions in C¹ Domains and Lipschitz Domains with Small Constant	5

Plateau's Problem as a Singular Limit of Capillarity Problems	5
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	5
Maximum of the Characteristic Polynomial for a Random Permutation Matrix	5
Maximum and Shape of Interfaces in 3D Ising Crystals	5
Sub‐Gaussian Matrices on Sets: Optimal Tail Dependence and Applications	5
The Continuous‐Time Lace Expansion	5
Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation	5
Improved Moser‐Trudinger‐Onofri Inequality under Constraints	5
Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems	4
Optimal Symplectic Connections on Holomorphic Submersions	4
Strong Stability for the Wulff Inequality with a Crystalline Norm	4
Isotropic‐Nematic Phase Transition and Liquid Crystal Droplets	4
Fast Computation of Orthogonal Systems with a Skew‐Symmetric Differentiation Matrix	4
Mean Convex Mean Curvature Flow with Free Boundary	4
Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D	4
Mathematical Modeling and Analysis of Spatial Neuron Dynamics: Dendritic Integration and Beyond	4
Maximal Hypersurfaces over Exterior Domains	4
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	4
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	4
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	4
Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems	4
Minimizers for the Thin One‐Phase Free Boundary Problem	4
Emergence of Concentration Effects in the Variational Analysis of theN‐Clock Model	4
A Remark on the Concentration Compactness Principle in Critical Dimension	4
Log‐Sobolev inequality for the φ24$\varphi ^4_2$ and φ34$\varphi ^4_3$ measures	4