Communications on Pure and Applied Mathematics

Article	Citations
Integrability of Einstein deformations and desingularizations	33
	33
Issue Information ‐ TOC	33
A Liouville‐type theorem for cylindrical cones	30
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model	25
Issue Information ‐ TOC	25
Hydrodynamic large deviations of TASEP	22
Compressible Navier‐Stokes equations with ripped density	22
On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations	22
Short‐time existence for the network flow	22
Issue Information ‐ TOC	20
Issue Information ‐ TOC	19
	18
Special Lagrangian pair of pants	17
Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign	15
Localized and degenerate controls for the incompressible Navier–Stokes system	15
Free Energy Wells and Overlap Gap Property in Sparse PCA	14
Analysis of density matrix embedding theory around the non‐interacting limit	13
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	13
Issue Information ‐ TOC	12
The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces	12
Ghost Point Diffusion Maps for Solving Elliptic PDEs on Manifolds with Classical Boundary Conditions	12
Issue Information ‐ TOC	12
Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars	11
Vortex Filament Solutions of the Navier‐Stokes Equations	11

	11
Upper Tail Large Deviations of Regular Subgraph Counts in Erdős‐Rényi Graphs in the Full Localized Regime	10
The Continuous‐Time Lace Expansion	9
	9
Understanding the training of infinitely deep and wide ResNets with conditional optimal transport	9
Fermi isospectrality for discrete periodic Schrödinger operators	9
	9
Navier‐Stokes Equations in Gas Dynamics: Green's Function, Singularity, and Well‐Posedness	9
	9
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet	9
Issue Information ‐ TOC	9
Issue Information ‐ TOC	9
Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach	8
The stationary AKPZ equation: Logarithmic superdiffusivity	8
Issue Information ‐ TOC	8
Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher	8
Stability of Hill's spherical vortex	8
Landscape complexity beyond invariance and the elastic manifold	8
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface	7
Regularity for convex viscosity solutions of special Lagrangian equation	7
	7
Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres	7
Convergence to the planar interface for a nonlocal free‐boundary evolution	7
Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators	7
Validity of steady Prandtl layer expansions	7
Thermodynamic limit of the first Lee‐Yang zero	7
Integrability of SLE via conformal welding of random surfaces	7
Pearcey universality at cusps of polygonal lozenge tilings	7
Inhomogeneous turbulence for the Wick Nonlinear Schrödinger equation	7
Semiconvexity estimates for nonlinear integro‐differential equations	6
Spectrum of random d‐regular graphs up to the edge	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
	6
Sine‐kernel determinant on two large intervals	6
Allen–Cahn solutions with triple junction structure at infinity	6
On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations	5
Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations	5
Issue Information ‐ TOC	5
Issue Information ‐ TOC	5
Issue Information ‐ TOC	5
Fluctuation exponents of the KPZ equation on a large torus	5
The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number	5
	5
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators	5
A Relative Entropy and a Unique Continuation Result for Ricci Expanders	5
Long‐time correlations for a hard‐sphere gas at equilibrium	5
Approximate Gibbsian structure in strongly correlated point fields and generalized Gaussian zero ensembles	5
The Brownian loop measure on Riemann surfaces and applications to length spectra	5
	4

Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices	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
	4
	4
On the stabilizing effect of rotation in the 3d Euler equations	4
Issue Information ‐ TOC	4
Issue Information ‐ TOC	4
	4
Magnetic helicity, weak solutions and relaxation of ideal MHD	4
A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions	4
	4
	4
Issue Information ‐ TOC	3
	3
Soft Riemann‐Hilbert problems and planar orthogonal polynomials	3
	3
Local Minimizers with Unbounded Vorticity for the 2D Ginzburg‐Landau Functional	3
Subquadratic harmonic functions on Calabi‐Yau manifolds with maximal volume growth	3
On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates	3
Isotropic‐Nematic Phase Transition and Liquid Crystal Droplets	3
Fast Reaction Limit with Nonmonotone Reaction Function	3
Pure gravity traveling quasi‐periodic water waves with constant vorticity	3
Stationary measure for the open KPZ equation	3
Large Deviations for Intersections of Random Walks	3
Constrained deformations of positive scalar curvature metrics, II	3
On the derivation of the homogeneous kinetic wave equation	3
Conformal covariance of connection probabilities and fields in 2D critical percolation	3
	3
On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation	3
Issue Information ‐ TOC	3
Generalized TAP Free Energy	3
Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension	3
Prescribed curvature measure problem in hyperbolic space	2
	2
On the isoperimetric Riemannian Penrose inequality	2
Complex analytic dependence on the dielectric permittivity in ENZ materials: The photonic doping example	2
Plateau's Problem as a Singular Limit of Capillarity Problems	2
	2
Issue Information ‐ TOC	2
Reflective prolate‐spheroidal operators and the adelic Grassmannian	2
Overcrowding and separation estimates for the Coulomb gas	2
	2
	2
The threshold energy of low temperature Langevin dynamics for pure spherical spin glasses	2
Issue Information ‐ TOC	2
Issue Information ‐ TOC	2
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
Magnetic slowdown of topological edge states	2
Persistence and ball exponents for Gaussian stationary processes	2
On the Pólya conjecture for the Neumann problem in planar convex domains	2
Critical local well‐posedness for the fully nonlinear Peskin problem	2
Issue Information ‐ TOC	2
Arnold diffusion in Hamiltonian systems on infinite lattices	2
Log‐Sobolev inequality for near critical Ising models	2
Global well‐posedness for the one‐phase Muskat problem	2
On learning Gaussian multi‐index models with gradient flow part I: General properties and two‐timescale learning	1
Issue Information ‐ TOC	1
Issue Information ‐ TOC	1
Issue Information ‐ TOC	1
Directed mean curvature flow in noisy environment	1
On the Maxwell‐Bloch system in the sharp‐line limit without solitons	1
	1
Uniqueness of Two‐Bubble Wave Maps in High Equivariance Classes	1
Sobolev Inequalities in Manifolds with Nonnegative Curvature	1
Quantitative homogenization of principal Dirichlet eigenvalue shape optimizers	1
Issue Information ‐ TOC	1
Issue Information ‐ TOC	1
Issue Information ‐ TOC	1
Discrete honeycombs, rational edges, and edge states	1
Maximum of the characteristic polynomial of i.i.d. matrices	1
Issue Information ‐ TOC	1
Prescribing Morse Scalar Curvatures: Pinching and Morse Theory	1
Limit Set of Branching Random Walks on Hyperbolic Groups	1
Multiplicative chaos measures from thick points of log‐correlated fields	1
	1
Issue Information ‐ TOC	1
Contact points with integer frequencies in the thin obstacle problem	1
Proof of Modulational Instability of Stokes Waves in Deep Water	1

	1
	1
	1
Delta‐convex structure of the singular set of distance functions	1