Communications on Pure and Applied Mathematics

Papers
(The TQCC of Communications on Pure and Applied Mathematics is 5. 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 2021-11-01 to 2025-11-01.)
ArticleCitations
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A Liouville‐type theorem for cylindrical cones36
Integrability of Einstein deformations and desingularizations36
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Uniqueness, regularity, and characteristic flow for a non strictly convex singular variational problem28
Short‐time existence for the network flow26
Hydrodynamic large deviations of TASEP25
Compressible Navier‐Stokes equations with ripped density23
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model22
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Special Lagrangian pair of pants16
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions15
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign15
Free Energy Wells and Overlap Gap Property in Sparse PCA15
Analysis of density matrix embedding theory around the non‐interacting limit14
Localized and degenerate controls for the incompressible Navier–Stokes system14
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Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions13
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First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet12
Vortex Filament Solutions of the Navier‐Stokes Equations12
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Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime12
Fermi isospectrality for discrete periodic Schrödinger operators11
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Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars10
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The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces10
Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher10
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Stability of Hill's spherical vortex9
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Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness9
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach9
Understanding the training of infinitely deep and wide ResNets with conditional optimal transport9
Landscape complexity beyond invariance and the elastic manifold9
The stationary AKPZ equation: Logarithmic superdiffusivity9
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators8
Thermodynamic limit of the first Lee‐Yang zero8
Regularity for convex viscosity solutions of special Lagrangian equation8
Convergence to the planar interface for a nonlocal free‐boundary evolution8
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface8
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Pearcey universality at cusps of polygonal lozenge tilings7
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres7
Spectrum of random d‐regular graphs up to the edge7
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Integrability of SLE via conformal welding of random surfaces7
Semiconvexity estimates for nonlinear integro‐differential equations7
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges7
Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation7
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Validity of steady Prandtl layer expansions7
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Sine‐kernel determinant on two large intervals7
A Relative Entropy and a Unique Continuation Result for Ricci Expanders6
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations6
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators6
Allen–Cahn solutions with triple junction structure at infinity6
Polynomial‐time universality and limitations of deep learning6
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles6
Fluctuation exponents of the KPZ equation on a large torus6
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations6
The Brownian loop measure on Riemann surfaces and applications to length spectra6
Long‐time correlations for a hard‐sphere gas at equilibrium6
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On the stabilizing effect of rotation in the 3d Euler equations5
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Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices5
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