Communications on Pure and Applied Mathematics

Article	Citations
Sine‐kernel determinant on two large intervals	101
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Linear Stability of Pipe Poiseuille Flow at High Reynolds Number Regime	28
Local Minimizers with Unbounded Vorticity for the 2D Ginzburg‐Landau Functional	23
Compressible Navier‐Stokes equations with ripped density	23
Delta‐convex structure of the singular set of distance functions	22
Online Prediction with History‐Dependent Experts: The General Case	20
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A Liouville‐type theorem for cylindrical cones	14
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Local laws and a mesoscopic CLT for β‐ensembles	10
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Spectrum of random d‐regular graphs up to the edge	9
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Short‐time existence for the network flow	9
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Shattering versus metastability in spin glasses	9

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Large Deviations for Intersections of Random Walks	8
Integrability of Einstein deformations and desingularizations	8
The α$\alpha$‐SQG patch problem is illposed in C2,β$C^{2,\beta }$ and W2,p$W^{2,p}$	8
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges	8
An Extremal Problem Arising in the Dynamics of Two‐Phase Materials That Directly Reveals Information about the Internal Geometry	7
Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems	7
Birkhoff Normal Form and Long Time Existence for Periodic Gravity Water Waves	7
Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities	7
On the Pólya conjecture for the Neumann problem in planar convex domains	7
Long range order for random field Ising and Potts models	7
Tight Lipschitz hardness for optimizing mean field spin glasses	6
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	6
The threshold energy of low temperature Langevin dynamics for pure spherical spin glasses	6
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Hydrodynamic large deviations of TASEP	6
The Generalization Error of Random Features Regression: Precise Asymptotics and the Double Descent Curve	6
Quantitative Estimates for Regular Lagrangian Flows withBVVector Fields	6
Free boundary partial regularity in the thin obstacle problem	6
On the isoperimetric Riemannian Penrose inequality	6
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Critical local well‐posedness for the fully nonlinear Peskin problem	5
Polynomial‐time universality and limitations of deep learning	5
Complex analytic dependence on the dielectric permittivity in ENZ materials: The photonic doping example	5
On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	5
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	5
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Plateau's Problem as a Singular Limit of Capillarity Problems	5
Central Limit Theorem for Linear Eigenvalue Statistics of Non‐Hermitian Random Matrices	5
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On minimizers in the liquid drop model	4
Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation	4
Prescribed curvature measure problem in hyperbolic space	4
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	4
Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D	4
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Hölder regularity of the Boltzmann equation past an obstacle	4
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Overcrowding and separation estimates for the Coulomb gas	3
Allen–Cahn solutions with triple junction structure at infinity	3
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	3
Magnetic slowdown of topological edge states	3
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Sharp asymptotic estimates for expectations, probabilities, and mean first passage times in stochastic systems with small noise	3

Giant component for the supercritical level‐set percolation of the Gaussian free field on regular expander graphs	3
Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution	3
Special Lagrangian pair of pants	3
Unique Continuation at the Boundary for Harmonic Functions in C1 Domains and Lipschitz Domains with Small Constant	3
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Fluctuation exponents of the KPZ equation on a large torus	3
Quantitative Linearization Results for theMonge‐AmpèreEquation	3
Optimal Small Scale Equidistribution of Lattice Points on the Sphere, Heegner Points, and Closed Geodesics	3
Analysis of density matrix embedding theory around the non‐interacting limit	3
Free Energy Wells and Overlap Gap Property in Sparse PCA	3
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Global well‐posedness for the one‐phase Muskat problem	3
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On the stability of Runge–Kutta methods for arbitrarily large systems of ODEs	2
Reflective prolate‐spheroidal operators and the adelic Grassmannian	2
Localized and degenerate controls for the incompressible Navier–Stokes system	2
Polynomial lower bound on the effective resistance for the one‐dimensional critical long‐range percolation	2
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	2
The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number	2
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The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	2
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Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems	2
Leapfrogging vortex rings for the three‐dimensional incompressible Euler equations	2
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	2
Plateau's Problem as a Singular Limit of Capillarity Problems	2
A Sharp Inequality on the Exponentiation of Functions on the Sphere	2
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A variational construction of Hamiltonian stationary surfaces with isolated Schoen–Wolfson conical singularities	2
A scaling limit of the parabolic Anderson model with exclusion interaction	2
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	2
A Functional Central Limit Theorem for Polaron Path Measures	2
C2 Regularity of the Surface Tension for the ∇ϕ Interface Model	2
Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime	2
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Long‐time correlations for a hard‐sphere gas at equilibrium	2
High‐dimensional limit theorems for SGD: Effective dynamics and critical scaling	1
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The maximum of log‐correlated Gaussian fields in random environment	1
Detecting the birth and death of finite‐time coherent sets	1
Shock Formation and Vorticity Creation for 3d Euler	1
The Continuous‐Time Lace Expansion	1
Moderately Discontinuous Homology	1
C2,α$C^{2,\alpha }$ regularity of free boundaries in optimal transportation	1
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	1
Smooth asymptotics for collapsing Calabi–Yau metrics	1
Asymptotics of block Toeplitz determinants with piecewise continuous symbols	1
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Fermi isospectrality for discrete periodic Schrödinger operators	1
Optimal Transport Based Seismic Inversion:Beyond Cycle Skipping	1
Compressive phase retrieval: Optimal sample complexity with deep generative priors	1
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	1
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Uniformly Positive Correlations in the Dimer Model and Macroscopic Interacting Self‐Avoiding Walk in ℤd, d ≥ 3	1
Log‐Sobolev inequality for the φ24$\varphi ^4_2$ and φ34$\varphi ^4_3$ measures	1
Integral formulation of Klein–Gordon singular waveguides	1
Infinite‐width limit of deep linear neural networks	1
Large deviations principle for the cubic NLS equation	1
Log‐Sobolev inequality for near critical Ising models	1
Vortex Filament Solutions of the Navier‐Stokes Equations	1
Phase transition of parabolic Ginzburg–Landau equation with potentials of high‐dimensional wells	1
Phase diagram and topological expansion in the complex quartic random matrix model	1
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Optimal regularity for supercritical parabolic obstacle problems	1
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SISTA: Learning Optimal Transport Costs under Sparsity Constraints	1
Global regularity for critical SQG in bounded domains	1
Arnold diffusion in Hamiltonian systems on infinite lattices	1
On the incompressible limit for a tumour growth model incorporating convective effects	1
Mean Convex Mean Curvature Flow with Free Boundary	1
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Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	0

On the Maxwell‐Bloch system in the sharp‐line limit without solitons	0
The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem	0
Corrigendum and Addendum: Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times	0
Universality Near the Gradient Catastrophe Point in the Semiclassical Sine‐Gordon Equation	0
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Semiconvexity estimates for nonlinear integro‐differential equations	0
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On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates	0
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Almost monotonicity formula for H‐minimal Legendrian surfaces in the Heisenberg group	0
The Brownian Castle	0
Sigma Delta Quantization for Images	0
Formation of Point Shocks for 3D Compressible Euler	0
The forbidden region for random zeros: Appearance of quadrature domains	0
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Quantitative homogenization of principal Dirichlet eigenvalue shape optimizers	0
Almost sharp lower bound for the nodal volume of harmonic functions	0
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Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension	0
A dynamical approach to the study of instability near Couette flow	0
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Constrained deformations of positive scalar curvature metrics, II	0
Isotropic‐Nematic Phase Transition and Liquid Crystal Droplets	0
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On the derivation of the homogeneous kinetic wave equation	0
Sobolev Inequalities in Manifolds with Nonnegative Curvature	0
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Magnetic helicity, weak solutions and relaxation of ideal MHD	0
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A flow‐type scaling limit for random growth with memory	0
On the stabilizing effect of rotation in the 3d Euler equations	0
Conformal covariance of connection probabilities and fields in 2D critical percolation	0
Global solutions of the compressible Euler‐Poisson equations with large initial data of spherical symmetry	0
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Multiplicative chaos measures from thick points of log‐correlated fields	0
Thin Loewner Carpets and Their Quasisymmetric Embeddings in S2	0
Entropy‐Bounded Solutions to the One‐Dimensional Heat Conductive Compressible Navier‐Stokes Equations with Far Field Vacuum	0
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Validity of steady Prandtl layer expansions	0
Pure gravity traveling quasi‐periodic water waves with constant vorticity	0
Existence of multi‐dimensional contact discontinuities for the ideal compressible magnetohydrodynamics	0
Pearcey universality at cusps of polygonal lozenge tilings	0
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Thermodynamic limit of the first Lee‐Yang zero	0
Generalized TAP Free Energy	0
Randomly pivoted Cholesky: Practical approximation of a kernel matrix with few entry evaluations	0
Hearing the shape of ancient noncollapsed flows in R4$\mathbb {R}^{4}$	0
Continuity Equation and Characteristic Flow for Scalar Hencky Plasticity	0
Prescribing Morse Scalar Curvatures: Pinching and Morse Theory	0
Rectifiability, finite Hausdorff measure, and compactness for non‐minimizing Bernoulli free boundaries	0
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Integrability of SLE via conformal welding of random surfaces	0
Critical sets of solutions of elliptic equations in periodic homogenization	0
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	0
Mean‐field limit of non‐exchangeable systems	0
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Limit Set of Branching Random Walks on Hyperbolic Groups	0
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Subquadratic harmonic functions on Calabi‐Yau manifolds with maximal volume growth	0
Discrete honeycombs, rational edges, and edge states	0
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Directed mean curvature flow in noisy environment	0
Stability of the tangent bundle through conifold transitions	0
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Minimizers for the Thin One‐Phase Free Boundary Problem	0
Landscape complexity beyond invariance and the elastic manifold	0
Uniqueness of Two‐Bubble Wave Maps in High Equivariance Classes	0
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	0
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Fast Reaction Limit with Nonmonotone Reaction Function	0
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Stationary measure for the open KPZ equation	0
Soft Riemann‐Hilbert problems and planar orthogonal polynomials	0
On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equations	0
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	0
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Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	0
Infinite order phase transition in the slow bond TASEP	0
Mathematical Modeling and Analysis of Spatial Neuron Dynamics: Dendritic Integration and Beyond	0
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An upper Minkowski dimension estimate for the interior singular set of area minimizing currents	0
Uniqueness of the blow‐down limit for a triple junction problem	0
On the Read‐Shockley energy for grain boundaries in 2D polycrystals	0
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Emergence of Concentration Effects in the Variational Analysis of theN‐Clock Model	0
Stability of perfectly matched layers for Maxwell's equations in rectangular solids	0