Communications on Pure and Applied Mathematics

Article	Citations
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Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	29
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Integrability of Einstein deformations and desingularizations	26
A Liouville‐type theorem for cylindrical cones	23
Short‐time existence for the network flow	19
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On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	18
Compressible Navier‐Stokes equations with ripped density	18
Hydrodynamic large deviations of TASEP	18
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Free Energy Wells and Overlap Gap Property in Sparse PCA	13
Localized and degenerate controls for the incompressible Navier–Stokes system	13
Special Lagrangian pair of pants	13
Analysis of density matrix embedding theory around the non‐interacting limit	12
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	11
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	11
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	10
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Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	10
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	9

Fermi isospectrality for discrete periodic Schrödinger operators	9
Moderately Discontinuous Homology	9
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	8
Vortex Filament Solutions of the Navier‐Stokes Equations	8
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Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime	8
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The Continuous‐Time Lace Expansion	8
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Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	7
The stationary AKPZ equation: Logarithmic superdiffusivity	7
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Landscape complexity beyond invariance and the elastic manifold	7
Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher	6
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Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	6
Pearcey universality at cusps of polygonal lozenge tilings	6
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Spectrum of random d‐regular graphs up to the edge	6
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	6
Integrability of SLE via conformal welding of random surfaces	6
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	6
Validity of steady Prandtl layer expansions	6
Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	6
Convergence to the planar interface for a nonlocal free‐boundary evolution	6
Stability of Hill's spherical vortex	6
Thermodynamic limit of the first Lee‐Yang zero	6
Semiconvexity estimates for nonlinear integro‐differential equations	6
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	6
Regularity for convex viscosity solutions of special Lagrangian equation	6
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	5
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	5
Allen–Cahn solutions with triple junction structure at infinity	5
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	5
Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution	5
Fluctuation exponents of the KPZ equation on a large torus	5
Polynomial‐time universality and limitations of deep learning	5
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	5
Sine‐kernel determinant on two large intervals	5
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The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number	4
Long‐time correlations for a hard‐sphere gas at equilibrium	4
On the stabilizing effect of rotation in the 3d Euler equations	4
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	4
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Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	4

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Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	4
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Magnetic helicity, weak solutions and relaxation of ideal MHD	4
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	4
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Fast Reaction Limit with Nonmonotone Reaction Function	3
Subquadratic harmonic functions on Calabi‐Yau manifolds with maximal volume growth	3
Stationary measure for the open KPZ equation	3
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Isotropic‐Nematic Phase Transition and Liquid Crystal Droplets	3
On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates	3
Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension	3
On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation	3
Constrained deformations of positive scalar curvature metrics, II	3
Generalized TAP Free Energy	3
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Conformal covariance of connection probabilities and fields in 2D critical percolation	3
Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation	3
On the derivation of the homogeneous kinetic wave equation	3
Pure gravity traveling quasi‐periodic water waves with constant vorticity	3
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Entropy‐Bounded Solutions to the One‐Dimensional Heat Conductive Compressible Navier‐Stokes Equations with Far Field Vacuum	3
Soft Riemann‐Hilbert problems and planar orthogonal polynomials	3
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations	3
Magnetic slowdown of topological edge states	2
Prescribed curvature measure problem in hyperbolic space	2
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Global well‐posedness for the one‐phase Muskat problem	2
On the isoperimetric Riemannian Penrose inequality	2
Reflective prolate‐spheroidal operators and the adelic Grassmannian	2
Arnold diffusion in Hamiltonian systems on infinite lattices	2
Plateau's Problem as a Singular Limit of Capillarity Problems	2
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Large Deviations for Intersections of Random Walks	2
On the Pólya conjecture for the Neumann problem in planar convex domains	2
The threshold energy of low temperature Langevin dynamics for pure spherical spin glasses	2
Critical local well‐posedness for the fully nonlinear Peskin problem	2
Detecting the birth and death of finite‐time coherent sets	2
Log‐Sobolev inequality for near critical Ising models	2
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Persistence and ball exponents for Gaussian stationary processes	2
Local Minimizers with Unbounded Vorticity for the 2D Ginzburg‐Landau Functional	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
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Directed mean curvature flow in noisy environment	1
Discrete honeycombs, rational edges, and edge states	1
Multiplicative chaos measures from thick points of log‐correlated fields	1
Delta‐convex structure of the singular set of distance functions	1
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Maximum of the characteristic polynomial of i.i.d. matrices	1
Limit Set of Branching Random Walks on Hyperbolic Groups	1
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Proof of Modulational Instability of Stokes Waves in Deep Water	1
On the Maxwell‐Bloch system in the sharp‐line limit without solitons	1
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Prescribing Morse Scalar Curvatures: Pinching and Morse Theory	1
Uniqueness of Two‐Bubble Wave Maps in High Equivariance Classes	1
Sobolev Inequalities in Manifolds with Nonnegative Curvature	1
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Contact points with integer frequencies in the thin obstacle problem	1
Upper Tail Large Deviations in First Passage Percolation	1
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The α$\alpha$‐SQG patch problem is illposed in C2,β$C^{2,\beta }$ and W2,p$W^{2,p}$	1
Quantitative homogenization of principal Dirichlet eigenvalue shape optimizers	1