Probability Theory and Related Fields

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 2021-03-01 to 2025-03-01.)
ArticleCitations
Supercritical sharpness for Voronoi percolation45
A transportation approach to the mean-field approximation22
Failure of almost uniform convergence for noncommutative martingales22
Quantitative CLTs in deep neural networks22
The sustainability probability for the critical Derrida–Retaux model20
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE20
Asymptotic moments of spatial branching processes15
Height function delocalisation on cubic planar graphs14
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve14
The distance exponent for Liouville first passage percolation is positive14
Gaussian unitary ensemble in random lozenge tilings14
Limit profiles for reversible Markov chains14
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions12
Fluctuations of the free energy in p-spin SK models on two scales12
Typical large graphs with given edge and triangle densities11
Baxter permuton and Liouville quantum gravity11
Tests and estimation strategies associated to some loss functions10
On planar graphs of uniform polynomial growth10
Dirichlet forms on unconstrained Sierpinski carpets10
Diophantine conditions in the law of the iterated logarithm for lacunary systems10
Random Euclidean coverage from within10
Finite free convolutions of polynomials9
A spectral condition for spectral gap: fast mixing in high-temperature Ising models9
Functional inequalities for Brownian motion on manifolds with sticky-reflecting boundary diffusion9
Stationary local random countable sets over the Wiener noise9
Does a central limit theorem hold for the k-skeleton of Poisson hyperplanes in hyperbolic space?8
Scaling limits for planar aggregation with subcritical fluctuations8
Multi-point distribution of discrete time periodic TASEP8
Quasi-static limit for the asymmetric simple exclusion8
Cutoff profiles for quantum Lévy processes and quantum random transpositions8
Non-uniformly parabolic equations and applications to the random conductance model7
The Brown measure of the free multiplicative Brownian motion7
The multivariate functional de Jong CLT7
Isoperimetric profiles and random walks on some groups defined by piecewise actions7
The number of solutions for random regular NAE-SAT7
Near-critical 2D percolation with heavy-tailed impurities, forest fires and frozen percolation7
Accelerating abelian random walks with hyperbolic dynamics6
Growth-fragmentation process embedded in a planar Brownian excursion6
Number of paths in oriented percolation as zero temperature limit of directed polymer6
Free boundary dimers: random walk representation and scaling limit6
The fixed points of branching Brownian motion6
Convergence of genealogies through spinal decomposition with an application to population genetics6
Regularity of SLE in $$(t,\kappa )$$ and refined GRR estimates6
Strong posterior contraction rates via Wasserstein dynamics5
Co-evolving dynamic networks5
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces5
Gaussian deconvolution and the lace expansion5
Correction to: Absolute continuity and singularity of Palm measures of the Ginibre point process5
Compactness and fractal dimensions of inhomogeneous continuum random trees5
Fleming–Viot couples live forever5
W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds5
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions5
Extremal singular values of random matrix products and Brownian motion on $$\textsf {GL} (N,\mathbb {C})$$5
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs5
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$5
Entropy-Transport distances between unbalanced metric measure spaces5
Mixing time of random walk on dynamical random cluster5
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree5
Edgeworth approximations for distributions of symmetric statistics5
The number of critical points of a Gaussian field: finiteness of moments5
Correction to: Exact value of the resistance exponent for four dimensional random walk trace5
The Allen–Cahn equation with weakly critical random initial datum5
Average-case analysis of the Gaussian elimination with partial pivoting5
Rearranged Stochastic Heat Equation4
Quantitative stochastic homogenization for random conductance models with stable-like jumps4
A tale of two balloons4
N-sided radial Schramm–Loewner evolution4
Heat kernel for reflected diffusion and extension property on uniform domains4
Local stationarity in exponential last-passage percolation4
Equivalence of approximate message passing and low-degree polynomials in rank-one matrix estimation4
Measure estimation on manifolds: an optimal transport approach4
Shift invariance of half space integrable models4
Minimal distance between random orbits4
Distribution dependent SDEs driven by additive fractional Brownian motion4
Exact matching of random graphs with constant correlation4
Correction to: Random-walk in Beta-distributed random environment4
Geodesic Lévy flights and expected stopping time for random searches4
Harry Kesten (1931–2019)4
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials4
Geometry of Gaussian free field sign clusters and random interlacements4
Subexponential lower bounds for f-ergodic Markov processes4
Second time scale of the metastability of reversible inclusion processes3
On the maximal displacement of near-critical branching random walks3
Instantaneous everywhere-blowup of parabolic SPDEs3
Poisson limit of bumping routes in the Robinson–Schensted correspondence3
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes3
Cutoff profile of ASEP on a segment3
On the Wiener chaos expansion of the signature of a Gaussian process3
Motion by mean curvature in interacting particle systems3
Random walks on $$\textrm{SL}_2({\mathbb {C}})$$: spectral gap and limit theorems3
Propagation of chaos for maxima of particle systems with mean-field drift interaction3
Hidden diagonal integrability of q-Hahn vertex model and Beta polymer model3
Uniqueness and mixing properties of Doeblin measures3
Density of imaginary multiplicative chaos via Malliavin calculus3
KPZ exponents for the half-space log-gamma polymer3
Phase transition for the smallest eigenvalue of covariance matrices3
Last passage isometries for the directed landscape3
Liouville quantum gravity and the Brownian map III: the conformal structure is determined3
Phase transition for random walks on graphs with added weighted random matching3
A formula for boundary correlations of the critical Ising model3
The local limit of rooted directed animals on the square lattice3
Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups3
Cut-off phenomenon for the ax+b Markov chain over a finite field3
Eve, Adam and the preferential attachment tree3
Random-field random surfaces3
Central limit type theorem and large deviation principle for multi-scale McKean–Vlasov SDEs3
Universal cutoff for Dyson Ornstein Uhlenbeck process3
Fluctuations of $$\beta $$-Jacobi product processes3
Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees3
Global solutions of aggregation equations and other flows with random diffusion3
A spatially-dependent fragmentation process3
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