OOIR: Observatory of International Research

Papers

(The TQCC of Analysis & Pde is 4. 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 2021-10-01 to 2025-10-01.)

Article	Citations
	42
Random Schrödinger operators with complex decaying potentials	26
Bosons in a double well: two-mode approximation and fluctuations	20
	19
Five-linear singular integral estimates of Brascamp–Lieb-type	18
	17
	17
	16
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	14
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	14
Singular perturbation of manifold-valued maps with anisotropic energy	14
	12
Commutator method for averaging lemmas	10
Discrete velocity Boltzmann equations in the plane: stationary solutions	10
A Szemerédi-type theorem for subsets of the unit cube	10
Talagrand’s influence inequality revisited	10
Structure of sets with nearly maximal Favard length	10
	10
	10
Holomorphic factorization of mappings into Sp4(ℂ)	9
Optimal Prandtl expansion around a concave boundary layer	9
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	9
Quantitative estimates in stochastic homogenization for correlated coefficient fields	8
Blow-up of solutions of critical elliptic equations in three dimensions	8
	8

The rank-one theorem on RCD spaces	8
Measure propagation along a ????0-vector field and wave controllability on a rough compact manifold	8
	8
The “good” Boussinesq equation : long-time asymptotics	8
Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	8
Reconstruction for the Calderón problem with Lipschitz conductivities	7
Fractal uncertainty for discrete two-dimensional Cantor sets	7
A new approach to the mean-field limit of Vlasov–Fokker–Planck equations	7
	7
	7
On an electromagnetic problem in a corner and its applications	7
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	7
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields	6
Nonnegative Ricci curvature and minimal graphs with linear growth	6
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	6
Multijet bundles and application to the finiteness of moments for zeros of Gaussian fields	6
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	6
Higher rank quantum-classical correspondence	6
Existence of resonances for Schrödinger operators on hyperbolic space	6
	6
Relative heat content asymptotics for sub-Riemannian manifolds	6
Couniversality and controlled maps on product systems over right LCM semigroups	6
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	6
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	6
	6
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	6
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	6
IDA and Hankel operators on Fock spaces	6
Arnold’s variational principle and its application to the stability of planar vortices	5
Classification of convex ancient free-boundary curve-shortening flows in the disc	5
A characterization of the Razak–Jacelon algebra	5
Perturbed interpolation formulae and applications	5
Large sets containing no copies of a given infinite sequence	5
A simple nuclear C∗-algebra with an internal asymmetry	5
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	5
Uniform Skoda integrability and Calabi–Yau degeneration	5
Strong ill-posedness for SQG in critical Sobolev spaces	5
	4
Wandering domains arising from Lavaurs maps with siegel disks	4
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	4
Spectral estimates for free boundary minimal surfaces via Montiel–Ros partitioning methods	4
Hardy spaces on Riemannian manifolds with quadratic curvature decay	4
A new approach to the Fourier extension problem for the paraboloid	4
Diffusion in small time in incomplete sub-Riemannian manifolds	4
	4
Degenerating hyperbolic surfaces and spectral gaps for large genus	4
Resonances for Schrödinger operators on infinite cylinders and other products	4
The strong topology of ω-plurisubharmonic functions	4
Families of functionals representing Sobolev norms	4
The Willmore flow of tori of revolution	4

Quantitative stability of Gel’fand’s inverse boundary problem	4
Stability of traveling waves for the Burgers–Hilbert equation	4
Local lens rigidity for manifolds of Anosov type	4
Beurling–Carleson sets, inner functions and a semilinear equation	4