Communications on Pure and Applied Mathematics

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 2021-04-01 to 2025-04-01.)
ArticleCitations
Sine‐kernel determinant on two large intervals101
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Linear Stability of Pipe Poiseuille Flow at High Reynolds Number Regime28
Compressible Navier‐Stokes equations with ripped density23
Local Minimizers with Unbounded Vorticity for the 2D Ginzburg‐Landau Functional23
Delta‐convex structure of the singular set of distance functions22
Online Prediction with History‐Dependent Experts: The General Case20
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A Liouville‐type theorem for cylindrical cones14
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Local laws and a mesoscopic CLT for β‐ensembles10
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Short‐time existence for the network flow9
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Shattering versus metastability in spin glasses9
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Spectrum of random d‐regular graphs up to the edge9
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Integrability of Einstein deformations and desingularizations8
The α$\alpha$‐SQG patch problem is illposed in C2,β$C^{2,\beta }$ and W2,p$W^{2,p}$8
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges8
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Large Deviations for Intersections of Random Walks8
Birkhoff Normal Form and Long Time Existence for Periodic Gravity Water Waves7
Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities7
On the Pólya conjecture for the Neumann problem in planar convex domains7
Long range order for random field Ising and Potts models7
An Extremal Problem Arising in the Dynamics of Two‐Phase Materials That Directly Reveals Information about the Internal Geometry7
Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems7
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Hydrodynamic large deviations of TASEP6
The Generalization Error of Random Features Regression: Precise Asymptotics and the Double Descent Curve6
Quantitative Estimates for Regular Lagrangian Flows withBVVector Fields6
Free boundary partial regularity in the thin obstacle problem6
On the isoperimetric Riemannian Penrose inequality6
Tight Lipschitz hardness for optimizing mean field spin glasses6
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model6
The threshold energy of low temperature Langevin dynamics for pure spherical spin glasses6
Complex analytic dependence on the dielectric permittivity in ENZ materials: The photonic doping example5
On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations5
A Relative Entropy and a Unique Continuation Result for Ricci Expanders5
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Plateau's Problem as a Singular Limit of Capillarity Problems5
Central Limit Theorem for Linear Eigenvalue Statistics of Non‐Hermitian Random Matrices5
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Critical local well‐posedness for the fully nonlinear Peskin problem5
Polynomial‐time universality and limitations of deep learning5
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations4
Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D4
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Hölder regularity of the Boltzmann equation past an obstacle4
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On minimizers in the liquid drop model4
Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation4
Prescribed curvature measure problem in hyperbolic space4
Sharp asymptotic estimates for expectations, probabilities, and mean first passage times in stochastic systems with small noise3
Giant component for the supercritical level‐set percolation of the Gaussian free field on regular expander graphs3
Special Lagrangian pair of pants3
Unique Continuation at the Boundary for Harmonic Functions in C1 Domains and Lipschitz Domains with Small Constant3
Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution3
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Fluctuation exponents of the KPZ equation on a large torus3
Quantitative Linearization Results for theMonge‐AmpèreEquation3
Analysis of density matrix embedding theory around the non‐interacting limit3
Free Energy Wells and Overlap Gap Property in Sparse PCA3
Optimal Small Scale Equidistribution of Lattice Points on the Sphere, Heegner Points, and Closed Geodesics3
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Global well‐posedness for the one‐phase Muskat problem3
Overcrowding and separation estimates for the Coulomb gas3
Allen–Cahn solutions with triple junction structure at infinity3
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions3
Magnetic slowdown of topological edge states3
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