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 2020-11-01 to 2024-11-01.)

Article	Citations
The Generalization Error of Random Features Regression: Precise Asymptotics and the Double Descent Curve	66
Axi‐symmetrization near Point Vortex Solutions for the 2D Euler Equation	24
Optimal Transport Based Seismic Inversion:Beyond Cycle Skipping	23
On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equations	23
Global Well‐Posedness of Master Equations for Deterministic Displacement Convex Potential Mean Field Games	22
Sobolev Inequalities in Manifolds with Nonnegative Curvature	19
Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds	19
A Riemann‐Hilbert Approach to the Lower Tail of the Kardar‐Parisi‐Zhang Equation	18
On Admissible Locations of Transonic Shock Fronts for Steady Euler Flows in an Almost Flat Finite Nozzle with Prescribed Receiver Pressure	17
On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	17
The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number	16
Refined Description and Stability for Singular Solutions of the 2D Keller‐Segel System	16
Well‐Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption	16
Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems	15
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	14
Multitime Distribution in Discrete Polynuclear Growth	14
Proof of Modulational Instability of Stokes Waves in Deep Water	13
Central Limit Theorem for Linear Eigenvalue Statistics of Non‐Hermitian Random Matrices	12
DLR Equations and Rigidity for the Sine‐Beta Process	11
Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	10
Quantitative Estimates for Regular Lagrangian Flows withBVVector Fields	10
Mean‐Field and Classical Limit for the N‐Body Quantum Dynamics with Coulomb Interaction	10
Formation of Point Shocks for 3D Compressible Euler	10
Shock Formation and Vorticity Creation for 3d Euler	10
Spatially Inhomogeneous Evolutionary Games	9

Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds	9
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	9
Linear Stability of Pipe Poiseuille Flow at High Reynolds Number Regime	9
The Data‐Driven Schrödinger Bridge	9
Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two	8
Validity of steady Prandtl layer expansions	8
Long‐Time Instability of the Couette Flow in Low Gevrey Spaces	8
Entropy‐Bounded Solutions to the One‐Dimensional Heat Conductive Compressible Navier‐Stokes Equations with Far Field Vacuum	8
Quantitative Linearization Results for theMonge‐AmpèreEquation	8
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	7
Almost‐Rigidity of Frameworks	7
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	7
Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds	7
Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation	7
Generalized TAP Free Energy	7
Gaussian Regularization of the Pseudospectrum and Davies’ Conjecture	7
Pure gravity traveling quasi‐periodic water waves with constant vorticity	6
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	6
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	6
Unique Continuation at the Boundary for Harmonic Functions in C¹ Domains and Lipschitz Domains with Small Constant	6
Regularized Stokes Immersed Boundary Problems in Two Dimensions: Well‐Posedness, Singular Limit, and Error Estimates	6
Sub‐Gaussian Matrices on Sets: Optimal Tail Dependence and Applications	6
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	6
The Quasi Curvature‐Dimension Condition with Applications to Sub‐Riemannian Manifolds	6
Likelihood Maximization and Moment Matching in Low SNR Gaussian Mixture Models	6
Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the Three‐Body Problem	6
C² Regularity of the Surface Tension for the ∇ϕ Interface Model	6
Mathematical Modeling and Analysis of Spatial Neuron Dynamics: Dendritic Integration and Beyond	5
A Remark on the Concentration Compactness Principle in Critical Dimension	5
The Continuous‐Time Lace Expansion	5
Long‐Term Regularity of 3D Gravity Water Waves	5
Isotropic‐Nematic Phase Transition and Liquid Crystal Droplets	5
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	5
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	5
Fast Reaction Limit with Nonmonotone Reaction Function	5
Maximum and Shape of Interfaces in 3D Ising Crystals	5
Log‐Sobolev inequality for the φ24$\varphi ^4_2$ and φ34$\varphi ^4_3$ measures	5
Birkhoff Normal Form and Long Time Existence for Periodic Gravity Water Waves	5
Mean Convex Mean Curvature Flow with Free Boundary	4
Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems	4
Minimizers for the Thin One‐Phase Free Boundary Problem	4
Fast Computation of Orthogonal Systems with a Skew‐Symmetric Differentiation Matrix	4
Area‐Minimizing Currents mod 2Q: Linear Regularity Theory	4
Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime	4
Universality Near the Gradient Catastrophe Point in the Semiclassical Sine‐Gordon Equation	4
Emergence of Concentration Effects in the Variational Analysis of theN‐Clock Model	4
Traveling Wave Solutions to the Free Boundary Incompressible Navier‐Stokes Equations	4
Fermi isospectrality for discrete periodic Schrödinger operators	4
Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution	4
Uniqueness of Two‐Bubble Wave Maps in High Equivariance Classes	4

Variational Embedding for Quantum Many‐Body Problems	4
Chord measures in integral geometry and their Minkowski problems	4
Prescribing Morse Scalar Curvatures: Pinching and Morse Theory	3
Plateau's Problem as a Singular Limit of Capillarity Problems	3
Regularity of Free Boundary Minimal Surfaces in Locally Polyhedral Domains	3
Sharp asymptotic estimates for expectations, probabilities, and mean first passage times in stochastic systems with small noise	3
Detecting the birth and death of finite‐time coherent sets	3
Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D	3
Compressible Navier‐Stokes equations with ripped density	3
Vortex Filament Solutions of the Navier‐Stokes Equations	3
Hearing the shape of ancient noncollapsed flows in R4$\mathbb {R}^{4}$	3
A dynamical approach to the study of instability near Couette flow	3
A Functional Central Limit Theorem for Polaron Path Measures	3
Contact points with integer frequencies in the thin obstacle problem	3
Magnetic slowdown of topological edge states	3
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	3
Log‐Sobolev inequality for near critical Ising models	3
Moderately Discontinuous Homology	3
Existence of multi‐dimensional contact discontinuities for the ideal compressible magnetohydrodynamics	3
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	3
Fully Nonlinear Equations with Applications to Grad Equations in Plasma Physics	3
A scaling limit of the parabolic Anderson model with exclusion interaction	3
On the stabilizing effect of rotation in the 3d Euler equations	3
A Scalar Version of the Caflisch‐Luke Paradox	3
Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities	3
Uniformly Positive Correlations in the Dimer Model and Macroscopic Interacting Self‐Avoiding Walk in ℤ^d, d ≥ 3	3