Communications on Pure and Applied Mathematics

Article	Citations
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A Liouville‐type theorem for cylindrical cones	39
Integrability of Einstein deformations and desingularizations	37
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Uniqueness, regularity, and characteristic flow for a non strictly convex singular variational problem	30
Short‐time existence for the network flow	26
Hydrodynamic large deviations of TASEP	26
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Compressible Navier‐Stokes equations with ripped density	23
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A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	16
Special Lagrangian pair of pants	16
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	16
Analysis of density matrix embedding theory around the non‐interacting limit	16
Free Energy Wells and Overlap Gap Property in Sparse PCA	16
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons	15
Localized and degenerate controls for the incompressible Navier–Stokes system	15
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First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	12
Vortex Filament Solutions of the Navier‐Stokes Equations	12
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	11

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The stationary AKPZ equation: Logarithmic superdiffusivity	10
Fermi isospectrality for discrete periodic Schrödinger operators	10
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Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher	10
Landscape complexity beyond invariance and the elastic manifold	9
Stability of Hill's spherical vortex	9
Thermodynamic limit of the first Lee‐Yang zero	9
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	9
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	9
Understanding the training of infinitely deep and wide ResNets with conditional optimal transport	9
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Regularity for convex viscosity solutions of special Lagrangian equation	9
Convergence to the planar interface for a nonlocal free‐boundary evolution	8
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Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	8
Integrability of SLE via conformal welding of random surfaces	8
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	7
Pearcey universality at cusps of polygonal lozenge tilings	7
Spectrum of random d‐regular graphs up to the edge	7
Sine‐kernel determinant on two large intervals	7
Semiconvexity estimates for nonlinear integro‐differential equations	7
Validity of steady Prandtl layer expansions	7
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	7
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Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	7
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Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	6
Fluctuation exponents of the KPZ equation on a large torus	6
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	6
Polynomial‐time universality and limitations of deep learning	6
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	6
The Brownian loop measure on Riemann surfaces and applications to length spectra	6
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	6
Allen–Cahn solutions with triple junction structure at infinity	6
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	6
Long‐time correlations for a hard‐sphere gas at equilibrium	6
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Magnetic helicity, weak solutions and relaxation of ideal MHD	5
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On the stabilizing effect of rotation in the 3d Euler equations	5
Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation	5
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Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	5
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains	5
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	5
Subquadratic harmonic functions on Calabi‐Yau manifolds with maximal volume growth	4
Soft Riemann‐Hilbert problems and planar orthogonal polynomials	4
Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension	4
Conformal covariance of connection probabilities and fields in 2D critical percolation	4
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On the derivation of the homogeneous kinetic wave equation	4
Generalized TAP Free Energy	4
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Isotropic‐Nematic Phase Transition and Liquid Crystal Droplets	4
Constrained deformations of positive scalar curvature metrics, II	4
On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates	4
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Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations	4
Pure gravity traveling quasi‐periodic water waves with constant vorticity	3
Local Minimizers with Unbounded Vorticity for the 2D Ginzburg‐Landau Functional	3
Large Deviations for Intersections of Random Walks	3
Persistence and ball exponents for Gaussian stationary processes	3
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On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation	3
On the isoperimetric Riemannian Penrose inequality	3
The threshold energy of low temperature Langevin dynamics for pure spherical spin glasses	3
Dimer models and conformal structures	3
Stationary measure for the open KPZ equation	3
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Fast Reaction Limit with Nonmonotone Reaction Function	3
On the Pólya conjecture for the Neumann problem in planar convex domains	3
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Overcrowding and separation estimates for the Coulomb gas	2
Equivariant toric geometry and Euler–Maclaurin formulae	2
Arnold diffusion in Hamiltonian systems on infinite lattices	2
Mack modes in supersonic boundary layer	2
Proof of Modulational Instability of Stokes Waves in Deep Water	2
Contact points with integer frequencies in the thin obstacle problem	2
Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver	2
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Global well‐posedness for the one‐phase Muskat problem	2
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies	2
Detecting the birth and death of finite‐time coherent sets	2
Magnetic slowdown of topological edge states	2
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation	2
Reflective prolate‐spheroidal operators and the adelic Grassmannian	2
Complex analytic dependence on the dielectric permittivity in ENZ materials: The photonic doping example	2
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Critical local well‐posedness for the fully nonlinear Peskin problem	2
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Prescribed curvature measure problem in hyperbolic space	2
Avila's acceleration via zeros of determinants and applications to Schrödinger cocycles	2
Directed mean curvature flow in noisy environment	2
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Plateau's Problem as a Singular Limit of Capillarity Problems	2
Log‐Sobolev inequality for near critical Ising models	2
Uniqueness of Two‐Bubble Wave Maps in High Equivariance Classes	1
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Discrete honeycombs, rational edges, and edge states	1
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Quantitative homogenization of principal Dirichlet eigenvalue shape optimizers	1
On learning Gaussian multi‐index models with gradient flow part I: General properties and two‐timescale learning	1
Shattering versus metastability in spin glasses	1
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Sobolev Inequalities in Manifolds with Nonnegative Curvature	1
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Multiplicative chaos measures from thick points of log‐correlated fields	1
Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities	1
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Limit Set of Branching Random Walks on Hyperbolic Groups	1
Fast randomized least‐squares solvers can be just as accurate and stable as classical direct solvers	1
On the Maxwell‐Bloch system in the sharp‐line limit without solitons	1
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Maximum of the characteristic polynomial of i.i.d. matrices	1
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Delta‐convex structure of the singular set of distance functions	1
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