Communications on Pure and Applied Mathematics

Article	Citations
Short‐time existence for the network flow	108
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Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	25
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Integrability of Einstein deformations and desingularizations	21
A Liouville‐type theorem for cylindrical cones	18
Compressible Navier‐Stokes equations with ripped density	17
Hydrodynamic large deviations of TASEP	17
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On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	17
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Special Lagrangian pair of pants	13
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Free Energy Wells and Overlap Gap Property in Sparse PCA	12
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	12
Analysis of density matrix embedding theory around the non‐interacting limit	11
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	10
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	10
Localized and degenerate controls for the incompressible Navier–Stokes system	10
Moderately Discontinuous Homology	9
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The Continuous‐Time Lace Expansion	9

Vortex Filament Solutions of the Navier‐Stokes Equations	9
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	9
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	8
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	8
Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime	8
Fermi isospectrality for discrete periodic Schrödinger operators	8
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Stability of Hill's spherical vortex	7
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Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	6
Thermodynamic limit of the first Lee‐Yang zero	6
Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher	6
Landscape complexity beyond invariance and the elastic manifold	6
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Integrability of SLE via conformal welding of random surfaces	6
The stationary AKPZ equation: Logarithmic superdiffusivity	6
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Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	6
Regularity for convex viscosity solutions of special Lagrangian equation	6
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	6
Convergence to the planar interface for a nonlocal free‐boundary evolution	5
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Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	5
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	5
Polynomial‐time universality and limitations of deep learning	5
Pearcey universality at cusps of polygonal lozenge tilings	5
Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	5
Spectrum of random d‐regular graphs up to the edge	5
Fluctuation exponents of the KPZ equation on a large torus	5
Sine‐kernel determinant on two large intervals	5
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	5
Semiconvexity estimates for nonlinear integro‐differential equations	5
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	5
Validity of steady Prandtl layer expansions	5
Long‐time correlations for a hard‐sphere gas at equilibrium	4
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Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	4
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The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number	4
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On the stabilizing effect of rotation in the 3d Euler equations	4
Allen–Cahn solutions with triple junction structure at infinity	4
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	4
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	4
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A Relative Entropy and a Unique Continuation Result for Ricci Expanders	4
Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution	4
Magnetic helicity, weak solutions and relaxation of ideal MHD	3
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Conformal covariance of connection probabilities and fields in 2D critical percolation	3
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Subquadratic harmonic functions on Calabi‐Yau manifolds with maximal volume growth	3
On the derivation of the homogeneous kinetic wave equation	3
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Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	3
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Isotropic‐Nematic Phase Transition and Liquid Crystal Droplets	3
Constrained deformations of positive scalar curvature metrics, II	3
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On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates	3
Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation	3
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	3
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Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations	3
Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension	3
Soft Riemann‐Hilbert problems and planar orthogonal polynomials	3
Global well‐posedness for the one‐phase Muskat problem	2
Large Deviations for Intersections of Random Walks	2
Local Minimizers with Unbounded Vorticity for the 2D Ginzburg‐Landau Functional	2
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Stationary measure for the open KPZ equation	2
Entropy‐Bounded Solutions to the One‐Dimensional Heat Conductive Compressible Navier‐Stokes Equations with Far Field Vacuum	2
Persistence and ball exponents for Gaussian stationary processes	2
Overcrowding and separation estimates for the Coulomb gas	2
Complex analytic dependence on the dielectric permittivity in ENZ materials: The photonic doping example	2
Plateau's Problem as a Singular Limit of Capillarity Problems	2
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Pure gravity traveling quasi‐periodic water waves with constant vorticity	2
Generalized TAP Free Energy	2
The threshold energy of low temperature Langevin dynamics for pure spherical spin glasses	2
Prescribed curvature measure problem in hyperbolic space	2
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Magnetic slowdown of topological edge states	2
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On the Pólya conjecture for the Neumann problem in planar convex domains	2
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On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation	2
On the isoperimetric Riemannian Penrose inequality	2
Fast Reaction Limit with Nonmonotone Reaction Function	2
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Critical local well‐posedness for the fully nonlinear Peskin problem	2
Quantitative homogenization of principal Dirichlet eigenvalue shape optimizers	1
Prescribing Morse Scalar Curvatures: Pinching and Morse Theory	1
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On the Maxwell‐Bloch system in the sharp‐line limit without solitons	1
Proof of Modulational Instability of Stokes Waves in Deep Water	1
Upper Tail Large Deviations in First Passage Percolation	1
Detecting the birth and death of finite‐time coherent sets	1
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Uniqueness of Two‐Bubble Wave Maps in High Equivariance Classes	1
Limit Set of Branching Random Walks on Hyperbolic Groups	1
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Contact points with integer frequencies in the thin obstacle problem	1
Directed mean curvature flow in noisy environment	1
Reflective prolate‐spheroidal operators and the adelic Grassmannian	1
Arnold diffusion in Hamiltonian systems on infinite lattices	1
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Sobolev Inequalities in Manifolds with Nonnegative Curvature	1
Discrete honeycombs, rational edges, and edge states	1
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Log‐Sobolev inequality for near critical Ising models	1
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Multiplicative chaos measures from thick points of log‐correlated fields	1
Maximum of the characteristic polynomial of i.i.d. matrices	1