Communications on Pure and Applied Mathematics

Article	Citations
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Hydrodynamic large deviations of TASEP	26
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Compressible Navier‐Stokes equations with ripped density	24
Uniqueness, regularity, and characteristic flow for a non strictly convex singular variational problem	24
A Liouville‐type theorem for cylindrical cones	21
Short‐time existence for the network flow	20
Integrability of Einstein deformations and desingularizations	20
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Special Lagrangian pair of pants	17
Localized and degenerate controls for the incompressible Navier–Stokes system	16
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons	16
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	15
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Free Energy Wells and Overlap Gap Property in Sparse PCA	15
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic	15
Analysis of density matrix embedding theory around the non‐interacting limit	15
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	13
Vortex Filament Solutions of the Navier‐Stokes Equations	13
About Wess–Zumino–Witten Equation and Harder–Narasimhan Potentials	13
Fermi isospectrality for discrete periodic Schrödinger operators	12
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The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	11
Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher	11
Landscape complexity beyond invariance and the elastic manifold	11
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Stability of Hill's spherical vortex	11
Understanding the training of infinitely deep and wide ResNets with conditional optimal transport	11
The stationary AKPZ equation: Logarithmic superdiffusivity	10
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	10
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Thermodynamic limit of the first Lee‐Yang zero	10
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	10
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Regularity for convex viscosity solutions of special Lagrangian equation	10
Convergence to the planar interface for a nonlocal free‐boundary evolution	10
The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound	9
Semiconvexity estimates for nonlinear integro‐differential equations	9
Integrability of SLE via conformal welding of random surfaces	9
Pearcey universality at cusps of polygonal lozenge tilings	9
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Validity of steady Prandtl layer expansions	9
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Liquid Drop Model for Nuclear Matter in the Low Density Limit	8
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	8
Polynomial‐time universality and limitations of deep learning	8
Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	8
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	8
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Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	8
Sine‐kernel determinant on two large intervals	8
Spectrum of random d‐regular graphs up to the edge	8
Exchangeable Arrays and Integrable Systems for Characteristic Polynomials of Random Matrices	8
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Allen–Cahn solutions with triple junction structure at infinity	7
Eventual regularization of fractional mean curvature flow	7
The Brownian loop measure on Riemann surfaces and applications to length spectra	7
Fluctuation exponents of the KPZ equation on a large torus	7
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	7
Long‐time correlations for a hard‐sphere gas at equilibrium	6
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Magnetic helicity, weak solutions and relaxation of ideal MHD	6
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Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	6
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Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	6
Optimal Convergence Rates in Multiscale Elliptic Homogenization	6
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On the stabilizing effect of rotation in the 3d Euler equations	6
Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation	5
Conformal covariance of connection probabilities and fields in 2D critical percolation	5
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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
Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension	5
Quantitative Homogenization and Hydrodynamic Limit of Nongradient Exclusion Process	5
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Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations	5
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Long‐Time Validity of the Linearized Boltzmann Uncut‐Off and the Linearized Landau Equations From the Newton Law	4
Soft Riemann‐Hilbert problems and planar orthogonal polynomials	4
Stationary measure for the open KPZ equation	4
Pure gravity traveling quasi‐periodic water waves with constant vorticity	4
On the derivation of the homogeneous kinetic wave equation	4
Self‐Similar Blowup for the Cubic Schrödinger Equation	4
Subquadratic harmonic functions on Calabi‐Yau manifolds with maximal volume growth	4
Constrained deformations of positive scalar curvature metrics, II	4
On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates	4
On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation	4
On the Pólya conjecture for the Neumann problem in planar convex domains	3
Prescribed curvature measure problem in hyperbolic space	3
Avila's acceleration via zeros of determinants and applications to Schrödinger cocycles	3
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Complex analytic dependence on the dielectric permittivity in ENZ materials: The photonic doping example	3
Critical local well‐posedness for the fully nonlinear Peskin problem	3
Dimer models and conformal structures	3
The threshold energy of low temperature Langevin dynamics for pure spherical spin glasses	3
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Global well‐posedness for the one‐phase Muskat problem	3
Overcrowding and separation estimates for the Coulomb gas	3
Arnold diffusion in Hamiltonian systems on infinite lattices	3
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies	3
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature	3
Persistence and ball exponents for Gaussian stationary processes	3
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Mack modes in supersonic boundary layer	3
Reflective prolate‐spheroidal operators and the adelic Grassmannian	3
Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver	3
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Magnetic slowdown of topological edge states	3
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On the isoperimetric Riemannian Penrose inequality	3
Equivariant toric geometry and Euler–Maclaurin formulae	3
Log‐Sobolev inequality for near critical Ising models	2
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Directed mean curvature flow in noisy environment	2
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation	2
Contact points with integer frequencies in the thin obstacle problem	2
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Discrete honeycombs, rational edges, and edge states	2
Fast randomized least‐squares solvers can be just as accurate and stable as classical direct solvers	2
A priori bounds for the generalised parabolic Anderson model	2
Detecting the birth and death of finite‐time coherent sets	2
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Convergence of Unadjusted Langevin in High Dimensions: Delocalization of Bias	1
Multiplicative chaos measures from thick points of log‐correlated fields	1
Front Propagation Through a Perforated Wall	1
On the Maxwell‐Bloch system in the sharp‐line limit without solitons	1
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Limit Set of Branching Random Walks on Hyperbolic Groups	1
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Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems	1
Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation	1
Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D	1
The α$\alpha$‐SQG patch problem is illposed in C2,β$C^{2,\beta }$ and W2,p$W^{2,p}$	1

On learning Gaussian multi‐index models with gradient flow part I: General properties and two‐timescale learning	1
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Quantitative homogenization of principal Dirichlet eigenvalue shape optimizers	1
Maximum of the characteristic polynomial of i.i.d. matrices	1
Delta‐convex structure of the singular set of distance functions	1
Optimal regularity for supercritical parabolic obstacle problems	1
Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE	1
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3‐Manifolds With Positive Scalar Curvature and Bounded Geometry	1
Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities	1
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The SIR Model in a Moving Population: Propagation of Infection and Herd Immunity	1
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Monge–Ampère Equation With Guillemin Boundary Condition in High Dimension	1
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Sharp asymptotic estimates for expectations, probabilities, and mean first passage times in stochastic systems with small noise	1
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Shattering versus metastability in spin glasses	1