Communications on Pure and Applied Mathematics

Article	Citations
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Integrability of Einstein deformations and desingularizations	36
A Liouville‐type theorem for cylindrical cones	36
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Uniqueness, regularity, and characteristic flow for a non strictly convex singular variational problem	28
Short‐time existence for the network flow	26
Hydrodynamic large deviations of TASEP	25
Compressible Navier‐Stokes equations with ripped density	23
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	22
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Special Lagrangian pair of pants	16
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	15
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	15
Free Energy Wells and Overlap Gap Property in Sparse PCA	15
Analysis of density matrix embedding theory around the non‐interacting limit	14
Localized and degenerate controls for the incompressible Navier–Stokes system	14
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Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	13
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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
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Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime	12
Fermi isospectrality for discrete periodic Schrödinger operators	11
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	10
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The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	10
Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher	10
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Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	9
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	9
Understanding the training of infinitely deep and wide ResNets with conditional optimal transport	9
Landscape complexity beyond invariance and the elastic manifold	9
The stationary AKPZ equation: Logarithmic superdiffusivity	9
Stability of Hill's spherical vortex	9
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	8
Thermodynamic limit of the first Lee‐Yang zero	8
Regularity for convex viscosity solutions of special Lagrangian equation	8
Convergence to the planar interface for a nonlocal free‐boundary evolution	8
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	8
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Pearcey universality at cusps of polygonal lozenge tilings	7
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	7
Spectrum of random d‐regular graphs up to the edge	7
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Integrability of SLE via conformal welding of random surfaces	7
Semiconvexity estimates for nonlinear integro‐differential equations	7
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	7
Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	7
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Validity of steady Prandtl layer expansions	7
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Sine‐kernel determinant on two large intervals	7
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	6
Allen–Cahn solutions with triple junction structure at infinity	6
Polynomial‐time universality and limitations of deep learning	6
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	6
Fluctuation exponents of the KPZ equation on a large torus	6
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	6
The Brownian loop measure on Riemann surfaces and applications to length spectra	6
Long‐time correlations for a hard‐sphere gas at equilibrium	6
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	6
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	6
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On the stabilizing effect of rotation in the 3d Euler equations	5
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Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	5

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Constrained deformations of positive scalar curvature metrics, II	4
Soft Riemann‐Hilbert problems and planar orthogonal polynomials	4
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Conformal covariance of connection probabilities and fields in 2D critical percolation	4
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	4
Magnetic helicity, weak solutions and relaxation of ideal MHD	4
Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension	4
Fast Reaction Limit with Nonmonotone Reaction Function	4
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Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains	4
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations	4
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Subquadratic harmonic functions on Calabi‐Yau manifolds with maximal volume growth	4
On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation	4
Isotropic‐Nematic Phase Transition and Liquid Crystal Droplets	4
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Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation	4
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Stationary measure for the open KPZ equation	3
Local Minimizers with Unbounded Vorticity for the 2D Ginzburg‐Landau Functional	3
Large Deviations for Intersections of Random Walks	3
Dimer models and conformal structures	3
Critical local well‐posedness for the fully nonlinear Peskin problem	3
Pure gravity traveling quasi‐periodic water waves with constant vorticity	3
On the derivation of the homogeneous kinetic wave equation	3
On the isoperimetric Riemannian Penrose inequality	3
Persistence and ball exponents for Gaussian stationary processes	3
On the Pólya conjecture for the Neumann problem in planar convex domains	3
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Generalized TAP Free Energy	3
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On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates	3
The threshold energy of low temperature Langevin dynamics for pure spherical spin glasses	3
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation	2
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Prescribed curvature measure problem in hyperbolic space	2
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Arnold diffusion in Hamiltonian systems on infinite lattices	2
Magnetic slowdown of topological edge states	2
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Directed mean curvature flow in noisy environment	2
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Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver	2
Plateau's Problem as a Singular Limit of Capillarity Problems	2
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies	2
Global well‐posedness for the one‐phase Muskat problem	2
Complex analytic dependence on the dielectric permittivity in ENZ materials: The photonic doping example	2
Log‐Sobolev inequality for near critical Ising models	2
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Contact points with integer frequencies in the thin obstacle problem	2
Avila's acceleration via zeros of determinants and applications to Schrödinger cocycles	2
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Equivariant toric geometry and Euler–Maclaurin formulae	2
Overcrowding and separation estimates for the Coulomb gas	2
Detecting the birth and death of finite‐time coherent sets	2
Reflective prolate‐spheroidal operators and the adelic Grassmannian	2
Proof of Modulational Instability of Stokes Waves in Deep Water	2
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Quantitative homogenization of principal Dirichlet eigenvalue shape optimizers	1
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Limit Set of Branching Random Walks on Hyperbolic Groups	1
Optimal Small Scale Equidistribution of Lattice Points on the Sphere, Heegner Points, and Closed Geodesics	1
The α$\alpha$‐SQG patch problem is illposed in C2,β$C^{2,\beta }$ and W2,p$W^{2,p}$	1
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Multiplicative chaos measures from thick points of log‐correlated fields	1
Sobolev Inequalities in Manifolds with Nonnegative Curvature	1

Fast randomized least‐squares solvers can be just as accurate and stable as classical direct solvers	1
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Maximum of the characteristic polynomial of i.i.d. matrices	1
Prescribing Morse Scalar Curvatures: Pinching and Morse Theory	1
Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities	1
Delta‐convex structure of the singular set of distance functions	1
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Uniqueness of Two‐Bubble Wave Maps in High Equivariance Classes	1
Discrete honeycombs, rational edges, and edge states	1
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On the Maxwell‐Bloch system in the sharp‐line limit without solitons	1
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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