Communications on Pure and Applied Mathematics

Article	Citations
Issue Information ‐ TOC	61
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Integrability of Einstein deformations and desingularizations	48
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Short‐time existence for the network flow	36
A Liouville‐type theorem for cylindrical cones	31
Uniqueness, regularity, and characteristic flow for a non strictly convex singular variational problem	26
Compressible Navier‐Stokes equations with ripped density	24
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Hydrodynamic large deviations of TASEP	23
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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
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic	15
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons	15
Free Energy Wells and Overlap Gap Property in Sparse PCA	15
Analysis of density matrix embedding theory around the non‐interacting limit	15
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Localized and degenerate controls for the incompressible Navier–Stokes system	14
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About Wess–Zumino–Witten Equation and Harder–Narasimhan Potentials	12
Vortex Filament Solutions of the Navier‐Stokes Equations	12
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The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	11
Fermi isospectrality for discrete periodic Schrödinger operators	11
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	11
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Understanding the training of infinitely deep and wide ResNets with conditional optimal transport	10
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Landscape complexity beyond invariance and the elastic manifold	10
The stationary AKPZ equation: Logarithmic superdiffusivity	10
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Stability of Hill's spherical vortex	10
Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher	10
Convergence to the planar interface for a nonlocal free‐boundary evolution	9
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	9
Thermodynamic limit of the first Lee‐Yang zero	9
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Regularity for convex viscosity solutions of special Lagrangian equation	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
Semiconvexity estimates for nonlinear integro‐differential equations	8
Integrability of SLE via conformal welding of random surfaces	8
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	8
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Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	8
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Spectrum of random d‐regular graphs up to the edge	7
Validity of steady Prandtl layer expansions	7
Liquid Drop Model for Nuclear Matter in the Low Density Limit	7
Polynomial‐time universality and limitations of deep learning	7
Sine‐kernel determinant on two large intervals	7
Pearcey universality at cusps of polygonal lozenge tilings	7
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Eventual regularization of fractional mean curvature flow	7
The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound	7
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	7
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A Relative Entropy and a Unique Continuation Result for Ricci Expanders	6
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	6
The Brownian loop measure on Riemann surfaces and applications to length spectra	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
Long‐time correlations for a hard‐sphere gas at equilibrium	6
Allen–Cahn solutions with triple junction structure at infinity	6
Exchangeable Arrays and Integrable Systems for Characteristic Polynomials of Random Matrices	6
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	6
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Magnetic helicity, weak solutions and relaxation of ideal MHD	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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A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	5
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains	5
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Optimal Convergence Rates in Multiscale Elliptic Homogenization	5
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Conformal covariance of connection probabilities and fields in 2D critical percolation	4
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On the stabilizing effect of rotation in the 3d Euler equations	4
Quantitative Homogenization and Hydrodynamic Limit of Nongradient Exclusion Process	4
Subquadratic harmonic functions on Calabi‐Yau manifolds with maximal volume growth	4
Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation	4
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations	4
Constrained deformations of positive scalar curvature metrics, II	3
Persistence and ball exponents for Gaussian stationary processes	3
Magnetic slowdown of topological edge states	3
Complex analytic dependence on the dielectric permittivity in ENZ materials: The photonic doping example	3
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On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation	3
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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 the isoperimetric Riemannian Penrose inequality	3
The threshold energy of low temperature Langevin dynamics for pure spherical spin glasses	3
Global well‐posedness for the one‐phase Muskat problem	3
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On the Pólya conjecture for the Neumann problem in planar convex domains	3
On the derivation of the homogeneous kinetic wave equation	3
Stationary measure for the open KPZ equation	3
Self‐Similar Blowup for the Cubic Schrödinger Equation	3
Soft Riemann‐Hilbert problems and planar orthogonal polynomials	3
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Overcrowding and separation estimates for the Coulomb gas	3
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies	3
Prescribed curvature measure problem in hyperbolic space	3
Critical local well‐posedness for the fully nonlinear Peskin problem	3
Dimer models and conformal structures	3
Pure gravity traveling quasi‐periodic water waves with constant vorticity	3
Long‐Time Validity of the Linearized Boltzmann Uncut‐Off and the Linearized Landau Equations From the Newton Law	3
Equivariant toric geometry and Euler–Maclaurin formulae	3
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Log‐Sobolev inequality for near critical Ising models	2
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Mack modes in supersonic boundary layer	2
Directed mean curvature flow in noisy environment	2
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A priori bounds for the generalised parabolic Anderson model	2
Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver	2
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation	2
Detecting the birth and death of finite‐time coherent sets	2
Proof of Modulational Instability of Stokes Waves in Deep Water	2
Avila's acceleration via zeros of determinants and applications to Schrödinger cocycles	2
Arnold diffusion in Hamiltonian systems on infinite lattices	2
Reflective prolate‐spheroidal operators and the adelic Grassmannian	2
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Contact points with integer frequencies in the thin obstacle problem	2
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On the Maxwell‐Bloch system in the sharp‐line limit without solitons	1
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Discrete honeycombs, rational edges, and edge states	1
Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities	1
Shattering versus metastability in spin glasses	1
Delta‐convex structure of the singular set of distance functions	1
Monge–Ampère Equation With Guillemin Boundary Condition in High Dimension	1
Multiplicative chaos measures from thick points of log‐correlated fields	1
Fast randomized least‐squares solvers can be just as accurate and stable as classical direct solvers	1
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On learning Gaussian multi‐index models with gradient flow part I: General properties and two‐timescale learning	1
3‐Manifolds With Positive Scalar Curvature and Bounded Geometry	1

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Front Propagation Through a Perforated Wall	1
Limit Set of Branching Random Walks on Hyperbolic Groups	1
Sobolev Inequalities in Manifolds with Nonnegative Curvature	1
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Quantitative homogenization of principal Dirichlet eigenvalue shape optimizers	1
The α$\alpha$‐SQG patch problem is illposed in C2,β$C^{2,\beta }$ and W2,p$W^{2,p}$	1
Maximum of the characteristic polynomial of i.i.d. matrices	1
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Issue Information ‐ TOC	1