OOIR: Observatory of International Research

Papers

(The TQCC of Probability Theory and Related Fields 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 2021-04-01 to 2025-04-01.)

Article	Citations
Rearranged Stochastic Heat Equation	26
Equivalence of approximate message passing and low-degree polynomials in rank-one matrix estimation	25
Quantitative stochastic homogenization for random conductance models with stable-like jumps	22
Geodesic Lévy flights and expected stopping time for random searches	22
Quantitative CLTs in deep neural networks	15
A transportation approach to the mean-field approximation	14
Supercritical sharpness for Voronoi percolation	14
Failure of almost uniform convergence for noncommutative martingales	14
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE	14
The sustainability probability for the critical Derrida–Retaux model	12
On planar graphs of uniform polynomial growth	11
Stationary local random countable sets over the Wiener noise	11
Finite free convolutions of polynomials	10
Functional inequalities for Brownian motion on manifolds with sticky-reflecting boundary diffusion	10
Gaussian unitary ensemble in random lozenge tilings	9
Fluctuations of the free energy in p-spin SK models on two scales	9
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve	9
Cutoff profiles for quantum Lévy processes and quantum random transpositions	9
Accelerating abelian random walks with hyperbolic dynamics	8
Convergence of genealogies through spinal decomposition with an application to population genetics	8
Number of paths in oriented percolation as zero temperature limit of directed polymer	8
Regularity of SLE in $$(t,\kappa )$$ and refined GRR estimates	8
Growth-fragmentation process embedded in a planar Brownian excursion	8
Random Euclidean coverage from within	7
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions	7

Typical large graphs with given edge and triangle densities	7
The distance exponent for Liouville first passage percolation is positive	7
Baxter permuton and Liouville quantum gravity	7
Limit profiles for reversible Markov chains	7
Dirichlet forms on unconstrained Sierpinski carpets	6
Diophantine conditions in the law of the iterated logarithm for lacunary systems	6
Tests and estimation strategies associated to some loss functions	6
Isoperimetric profiles and random walks on some groups defined by piecewise actions	6
Quasi-static limit for the asymmetric simple exclusion	6
The Brown measure of the free multiplicative Brownian motion	6
Fleming–Viot couples live forever	5
Co-evolving dynamic networks	5
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces	5
Average-case analysis of the Gaussian elimination with partial pivoting	5
The multivariate functional de Jong CLT	5
The fixed points of branching Brownian motion	5
Strong posterior contraction rates via Wasserstein dynamics	5
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$	5
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree	5
Compactness and fractal dimensions of inhomogeneous continuum random trees	5
Non-uniformly parabolic equations and applications to the random conductance model	5
Asymptotic moments of spatial branching processes	5
The number of solutions for random regular NAE-SAT	5
Edgeworth approximations for distributions of symmetric statistics	5
Free boundary dimers: random walk representation and scaling limit	5
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions	5
Mixing time of random walk on dynamical random cluster	5
Multi-point distribution of discrete time periodic TASEP	5
W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds	4
Height function delocalisation on cubic planar graphs	4
Scaling limits for planar aggregation with subcritical fluctuations	4
Correction to: Absolute continuity and singularity of Palm measures of the Ginibre point process	4
Regularity of laws via Dirichlet forms: application to quadratic forms in independent and identically distributed random variables	4
Entropy-Transport distances between unbalanced metric measure spaces	4
A spectral condition for spectral gap: fast mixing in high-temperature Ising models	4
The number of critical points of a Gaussian field: finiteness of moments	4
Extremal singular values of random matrix products and Brownian motion on $$\textsf {GL} (N,\mathbb {C})$$	4
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs	4
Rough weak solutions for singular Lévy SDEs	4
On the triviality of the shocked map	4
Nonparametric Bayesian estimation in a multidimensional diffusion model with high frequency data	4
A tale of two balloons	4
Measure estimation on manifolds: an optimal transport approach	4
The Allen–Cahn equation with weakly critical random initial datum	4
Gaussian deconvolution and the lace expansion	4
Correction to: Exact value of the resistance exponent for four dimensional random walk trace	4
The algorithmic phase transition of random graph alignment problem	4
Correction to: Random-walk in Beta-distributed random environment	4
Harry Kesten (1931–2019)	4
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm	4

Eve, Adam and the preferential attachment tree	3
Uniqueness and mixing properties of Doeblin measures	3
Universal cutoff for Dyson Ornstein Uhlenbeck process	3
Heat kernel for reflected diffusion and extension property on uniform domains	3
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials	3
Central limit type theorem and large deviation principle for multi-scale McKean–Vlasov SDEs	3
KPZ exponents for the half-space log-gamma polymer	3
Motion by mean curvature in interacting particle systems	3
Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups	3
Markov processes related to the stationary measure for the open KPZ equation	3
Cutoff profile of ASEP on a segment	3
Subexponential lower bounds for f-ergodic Markov processes	3
N-sided radial Schramm–Loewner evolution	3
Geometry of Gaussian free field sign clusters and random interlacements	3
Poisson limit of bumping routes in the Robinson–Schensted correspondence	3
On the Wiener chaos expansion of the signature of a Gaussian process	3
Phase transition for random walks on graphs with added weighted random matching	3
Instantaneous everywhere-blowup of parabolic SPDEs	3
Last passage isometries for the directed landscape	3
Distribution dependent SDEs driven by additive fractional Brownian motion	3
Minimal distance between random orbits	3
Shift invariance of half space integrable models	3
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes	3
Fluctuations of $$\beta $$-Jacobi product processes	3
Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees	3
Propagation of chaos for maxima of particle systems with mean-field drift interaction	3