OOIR: Observatory of International Research

Papers

(The TQCC of Analysis & Pde is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)

Article	Citations
	36
Random Schrödinger operators with complex decaying potentials	24
	19
Bosons in a double well: two-mode approximation and fluctuations	19
A Szemerédi-type theorem for subsets of the unit cube	16
Five-linear singular integral estimates of Brascamp–Lieb-type	16
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	15
	14
	13
	13
Singular stochastic integral operators	12
Singular perturbation of manifold-valued maps with anisotropic energy	11
	11
Talagrand’s influence inequality revisited	10
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	10
Commutator method for averaging lemmas	9
Blow-up of solutions of critical elliptic equations in three dimensions	9
A splitting lemma for coherent sheaves	9
Structure of sets with nearly maximal Favard length	9
	9
Discrete velocity Boltzmann equations in the plane: stationary solutions	9
Holomorphic factorization of mappings into Sp4(ℂ)	8
	8
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	8
The rank-one theorem on RCD spaces	8

Optimal Prandtl expansion around a concave boundary layer	7
C1,1 regularity of degenerate complex Monge–Ampère equations and some applications	7
	7
Quantitative estimates in stochastic homogenization for correlated coefficient fields	7
Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	7
A new approach to the mean-field limit of Vlasov–Fokker–Planck equations	7
The “good” Boussinesq equation : long-time asymptotics	7
Measure propagation along a ????0-vector field and wave controllability on a rough compact manifold	7
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields	6
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	6
IDA and Hankel operators on Fock spaces	6
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	6
On an electromagnetic problem in a corner and its applications	6
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	6
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	6
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem	6
Relative heat content asymptotics for sub-Riemannian manifolds	6
Multijet bundles and application to the finiteness of moments for zeros of Gaussian fields	6
Fractal uncertainty for discrete two-dimensional Cantor sets	6
Higher rank quantum-classical correspondence	6
Existence of resonances for Schrödinger operators on hyperbolic space	6
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	6
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	6
	6
Nonnegative Ricci curvature and minimal graphs with linear growth	6
	6
	5
A simple nuclear C∗-algebra with an internal asymmetry	5
Waves interacting with a partially immersed obstacle in the Boussinesq regime	5
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	5
Classification of convex ancient free-boundary curve-shortening flows in the disc	5
Perturbed interpolation formulae and applications	5
Arnold’s variational principle and its application to the stability of planar vortices	5
A characterization of the Razak–Jacelon algebra	5
Large sets containing no copies of a given infinite sequence	4
Strong ill-posedness for SQG in critical Sobolev spaces	4
Couniversality and controlled maps on product systems over right LCM semigroups	4
Local lens rigidity for manifolds of Anosov type	4
Uniform Skoda integrability and Calabi–Yau degeneration	4
Hardy spaces on Riemannian manifolds with quadratic curvature decay	4
Stability of traveling waves for the Burgers–Hilbert equation	4
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	4
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	4
Resonances for Schrödinger operators on infinite cylinders and other products	4
Multipliers and operator space structure of weak product spaces	4
Degenerating hyperbolic surfaces and spectral gaps for large genus	4
A substitute for Kazhdan’s property (T) for universal nonlattices	3
	3
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	3
Beurling–Carleson sets, inner functions and a semilinear equation	3

The strong topology of ω-plurisubharmonic functions	3
Wandering domains arising from Lavaurs maps with siegel disks	3
	3
Global stability of spacetimes with supersymmetric compactifications	3
The Cauchy problem for the infinitesimal model in the regime of small variance	3
Reconstruction and stability in Gelfand’s inverse interior spectral problem	3
	3
Diffusion in small time in incomplete sub-Riemannian manifolds	3
A new approach to the Fourier extension problem for the paraboloid	3
A fast point charge interacting with the screened Vlasov–Poisson system	3
Schauder estimates for equations with cone metrics, II	3
The Willmore flow of tori of revolution	3
Multilayer potentials for higher-order systems in rough domains	3
Quantitative stability of Gel’fand’s inverse boundary problem	3
	3
Families of functionals representing Sobolev norms	3