Communications on Pure and Applied Mathematics

Article	Citations
	33
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Integrability of Einstein deformations and desingularizations	32
A Liouville‐type theorem for cylindrical cones	28
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Hydrodynamic large deviations of TASEP	23
Compressible Navier‐Stokes equations with ripped density	21
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	20
Short‐time existence for the network flow	20
On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	19
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Localized and degenerate controls for the incompressible Navier–Stokes system	15
Special Lagrangian pair of pants	15
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	14
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	13
Free Energy Wells and Overlap Gap Property in Sparse PCA	12
Analysis of density matrix embedding theory around the non‐interacting limit	12
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	12
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First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	11
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	11
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Vortex Filament Solutions of the Navier‐Stokes Equations	10
Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime	10
The Continuous‐Time Lace Expansion	10
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	10
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Fermi isospectrality for discrete periodic Schrödinger operators	9
Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	9
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Landscape complexity beyond invariance and the elastic manifold	8
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The stationary AKPZ equation: Logarithmic superdiffusivity	8
Understanding the training of infinitely deep and wide ResNets with conditional optimal transport	8
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	8
Stability of Hill's spherical vortex	8
Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher	8
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	7
Integrability of SLE via conformal welding of random surfaces	7
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Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	7
Convergence to the planar interface for a nonlocal free‐boundary evolution	7
Pearcey universality at cusps of polygonal lozenge tilings	7
Validity of steady Prandtl layer expansions	7
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	7
Thermodynamic limit of the first Lee‐Yang zero	7
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	7
Regularity for convex viscosity solutions of special Lagrangian equation	7
Semiconvexity estimates for nonlinear integro‐differential equations	7
Spectrum of random d‐regular graphs up to the edge	6
Fluctuation exponents of the KPZ equation on a large torus	6
Sine‐kernel determinant on two large intervals	6
Polynomial‐time universality and limitations of deep learning	6
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	6
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On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	5
The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number	5
On the stabilizing effect of rotation in the 3d Euler equations	5
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	5
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	5
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	5
Long‐time correlations for a hard‐sphere gas at equilibrium	5
Allen–Cahn solutions with triple junction structure at infinity	5
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	5
The Brownian loop measure on Riemann surfaces and applications to length spectra	5
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Isotropic‐Nematic Phase Transition and Liquid Crystal Droplets	4
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Magnetic helicity, weak solutions and relaxation of ideal MHD	4
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	4
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations	4
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	4
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Conformal covariance of connection probabilities and fields in 2D critical percolation	4
Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation	4
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Pure gravity traveling quasi‐periodic water waves with constant vorticity	3
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On the Pólya conjecture for the Neumann problem in planar convex domains	3
Generalized TAP Free Energy	3
Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension	3
On the derivation of the homogeneous kinetic wave equation	3
Soft Riemann‐Hilbert problems and planar orthogonal polynomials	3
On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation	3
Local Minimizers with Unbounded Vorticity for the 2D Ginzburg‐Landau Functional	3
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Constrained deformations of positive scalar curvature metrics, II	3
Fast Reaction Limit with Nonmonotone Reaction Function	3
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Large Deviations for Intersections of Random Walks	3
Entropy‐Bounded Solutions to the One‐Dimensional Heat Conductive Compressible Navier‐Stokes Equations with Far Field Vacuum	3
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On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates	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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On the isoperimetric Riemannian Penrose inequality	2
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation	2
Log‐Sobolev inequality for near critical Ising models	2
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Prescribed curvature measure problem in hyperbolic space	2
Complex analytic dependence on the dielectric permittivity in ENZ materials: The photonic doping example	2
Persistence and ball exponents for Gaussian stationary processes	2
Plateau's Problem as a Singular Limit of Capillarity Problems	2
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Directed mean curvature flow in noisy environment	2
Detecting the birth and death of finite‐time coherent sets	2
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Reflective prolate‐spheroidal operators and the adelic Grassmannian	2
Critical local well‐posedness for the fully nonlinear Peskin problem	2
Overcrowding and separation estimates for the Coulomb gas	2
The threshold energy of low temperature Langevin dynamics for pure spherical spin glasses	2
Magnetic slowdown of topological edge states	2
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Arnold diffusion in Hamiltonian systems on infinite lattices	2
Global well‐posedness for the one‐phase Muskat problem	2
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Proof of Modulational Instability of Stokes Waves in Deep Water	1
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Quantitative homogenization of principal Dirichlet eigenvalue shape optimizers	1
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Multiplicative chaos measures from thick points of log‐correlated fields	1
Discrete honeycombs, rational edges, and edge states	1
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Contact points with integer frequencies in the thin obstacle problem	1
Sobolev Inequalities in Manifolds with Nonnegative Curvature	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
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On the Maxwell‐Bloch system in the sharp‐line limit without solitons	1
On learning Gaussian multi‐index models with gradient flow part I: General properties and two‐timescale learning	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
Prescribing Morse Scalar Curvatures: Pinching and Morse Theory	1