Probability Theory and Related Fields

Papers
(The TQCC of Probability Theory and Related Fields 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 2022-06-01 to 2026-06-01.)
ArticleCitations
Fluctuations of the free energy in p-spin SK models on two scales39
Mixing time of random walk on dynamical random cluster27
Almost flat highest weights and application to Wilson loops on compact surfaces25
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces19
Parity questions in critical planar Brownian loop-soups (or “where did the free planar bosons go?”)15
Strong posterior contraction rates via Wasserstein dynamics14
Correction to: Exact value of the resistance exponent for four dimensional random walk trace14
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions13
On the local well-posedness of randomly forced reaction-diffusion equations with $$\varvec{L^2}$$ initial data and a superlinear reaction term11
The Brown measure of the free multiplicative Brownian motion11
Entropy-Transport distances between unbalanced metric measure spaces11
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$11
Gaussian deconvolution and the lace expansion10
A spatially-dependent fragmentation process10
Correction: An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions d > 69
Regularity of laws via Dirichlet forms: application to quadratic forms in independent and identically distributed random variables9
Infinite disorder renormalization fixed point for the continuum random field Ising chain9
Spherical integrals of sublinear rank9
Phase transition for the smallest eigenvalue of covariance matrices9
Martingale-driven integrals and singular SPDEs9
Metastability between the clicks of Muller’s ratchet8
Tip growth in a strongly concentrated conformal growth model follows local geodesics8
Critical one-arm probability for the metric Gaussian free field in low dimensions8
A multivariate extension of the Erdős–Taylor theorem8
Correction: Poisson representable processes8
Correction to: On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching8
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics8
Branching random walks and Minkowski sum of random walks7
Anomalous diffusion limit for a kinetic equation with a thermostatted interface7
Symmetric cooperative motion in one dimension7
Sparse reconstruction in spin systems II: Ising and other factor of IID measures7
Strong solutions to McKean–Vlasov SDEs associated to a class of degenerate Fokker–Planck equations with coefficients of Nemytskii-type7
Normal approximation for exponential random graphs7
The fuzzy Potts model in the plane: scaling limits and arm exponents7
Sharp uniform-in-time propagation of chaos7
Convergence of three-dimensional loop-erased random walk in the natural parametrization6
McKean–Vlasov stochastic partial differential equations: existence, uniqueness and propagation of chaos6
Quenched universality for deformed Wigner matrices6
Hamilton–Jacobi scaling limits of Pareto peeling in 2D6
Coupling between Brownian motion and random walks on the infinite percolation cluster6
The Brown measure of a family of free multiplicative Brownian motions6
Covariance estimation with direction dependence accuracy6
Correction: Second time scale of the metastability of reversible inclusion processes6
Decorrelation transition in the Wigner minor process6
Half-space Airy line ensembles6
Random generation and scaling limits of fixed genus factorizations into transpositions6
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere5
Sampling from convex sets with a cold start using multiscale decompositions5
The Doob transform and the tree behind the forest, with application to near-critical dimers5
Central limit theorem for intrinsic Fréchet means in smooth compact Riemannian manifolds5
Quantitative stochastic homogenization for random conductance models with stable-like jumps5
The number of critical points of a Gaussian field: finiteness of moments5
Correction to: Quenched large deviation principle for words in a letter sequence5
Contracting isometries and differentiability of the escape rate5
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE5
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains5
Six-vertex model with rare corners and random restricted permutations5
Stationary local random countable sets over the Wiener noise5
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets5
Optimal unimodular matchings5
Quantitative stochastic homogenization of the G equation5
Upper bounds on the one-arm exponent for dependent percolation models5
Non-reversible lifts of reversible diffusion processes and relaxation times5
Upper tail of the spectral radius of sparse Erdös–Rényi graphs5
On the triviality of the shocked map5
Gaussian unitary ensemble in random lozenge tilings4
Diophantine conditions in the law of the iterated logarithm for lacunary systems4
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm4
The local limit of rooted directed animals on the square lattice4
On the multi-bubble blow-up solutions to focusing mass-critical stochastic nonlinear Schrödinger equations in dimensions one and two4
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes4
Explicit formulas for the inverses of Toeplitz matrices, with applications4
The incipient infinite cluster of the FK-Ising model in dimensions $$d\ge 3$$ and the susceptibility of the high-dimensional Ising model4
Absence of percolation for infinite Poissonian systems of stopped paths4
Average-case analysis of the Gaussian elimination with partial pivoting4
Recurrence-Transience phase transition of the step-reinforced random walk at 1/24
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs4
Minimal distance between random orbits4
Tight universal bounds on the height times the width of random trees4
Trees with exponential height dependent weight4
Propagation of chaos for maxima of particle systems with mean-field drift interaction4
Wright–Fisher stochastic heat equations with irregular drifts4
Free boundary dimers: random walk representation and scaling limit4
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions4
Stefan problem with surface tension: global existence of physical solutions under radial symmetry4
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms4
Optimal transport methods for combinatorial optimization over two random point sets4
Harnack inequality and one-endedness of UST on reversible random graphs4
Semicircular families of general covariance from Wigner matrices with permuted entries4
0.84572505950928