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 2022-08-01 to 2026-08-01.)
ArticleCitations
Fluctuations of the free energy in p-spin SK models on two scales44
Mixing time of random walk on dynamical random cluster30
Almost flat highest weights and application to Wilson loops on compact surfaces29
Correction to: Exact value of the resistance exponent for four dimensional random walk trace22
Strong posterior contraction rates via Wasserstein dynamics18
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions17
On the local well-posedness of randomly forced reaction-diffusion equations with $$\varvec{L^2}$$ initial data and a superlinear reaction term14
Entropy-Transport distances between unbalanced metric measure spaces14
The Brown measure of the free multiplicative Brownian motion13
Gaussian deconvolution and the lace expansion12
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$12
Heat kernel estimates for nonlocal kinetic operators11
Parity questions in critical planar Brownian loop-soups (or “where did the free planar bosons go?”)11
Ergodicity and weak mixing for group-indexed infinitely divisible stationary processes11
Phase transition for the smallest eigenvalue of covariance matrices10
Martingale-driven integrals and singular SPDEs10
A spatially-dependent fragmentation process10
Infinite disorder renormalization fixed point for the continuum random field Ising chain9
Correction: Poisson representable processes9
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
Critical one-arm probability for the metric Gaussian free field in low dimensions8
Tip growth in a strongly concentrated conformal growth model follows local geodesics8
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
Metastability between the clicks of Muller’s ratchet8
Spherical integrals of sublinear rank8
Sharp uniform-in-time propagation of chaos7
Anomalous diffusion limit for a kinetic equation with a thermostatted interface7
Normal approximation for exponential random graphs7
Strong solutions to McKean–Vlasov SDEs associated to a class of degenerate Fokker–Planck equations with coefficients of Nemytskii-type7
Branching random walks and Minkowski sum of random walks7
Sparse reconstruction in spin systems II: Ising and other factor of IID measures7
Symmetric cooperative motion in one dimension7
A multivariate extension of the Erdős–Taylor theorem7
Correction: Second time scale of the metastability of reversible inclusion processes7
Decorrelation transition in the Wigner minor process6
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere6
Hamilton–Jacobi scaling limits of Pareto peeling in 2D6
The Brown measure of a family of free multiplicative Brownian motions6
Convergence of three-dimensional loop-erased random walk in the natural parametrization6
Half-space Airy line ensembles6
Random generation and scaling limits of fixed genus factorizations into transpositions6
Coupling between Brownian motion and random walks on the infinite percolation cluster6
The fuzzy Potts model in the plane: scaling limits and arm exponents6
Covariance estimation with direction dependence accuracy6
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE6
Uniqueness of Dirichlet forms for random point fields in the absence of tail triviality6
McKean–Vlasov stochastic partial differential equations: existence, uniqueness and propagation of chaos6
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
Quenched and annealed heat kernel estimates for Brox’s diffusion5
Six-vertex model with rare corners and random restricted permutations5
Superdiffusive central limit theorem for a class of driven diffusive systems at the critical dimension5
Stationary local random countable sets over the Wiener noise5
Optimal unimodular matchings5
Editorial5
Upper tail of the spectral radius of sparse Erdös–Rényi graphs5
Upper bounds on the one-arm exponent for dependent percolation models5
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains5
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets5
Sampling from convex sets with a cold start using multiscale decompositions5
Quantitative stochastic homogenization of the G equation5
Contracting isometries and differentiability of the escape rate5
Correction to: Quenched large deviation principle for words in a letter sequence5
Non-reversible lifts of reversible diffusion processes and relaxation times5
Quantitative stochastic homogenization for random conductance models with stable-like jumps5
Conformally invariant boundary arcs in double dimers4
The number of critical points of a Gaussian field: finiteness of moments4
Harnack inequality and one-endedness of UST on reversible random graphs4
Wright–Fisher stochastic heat equations with irregular drifts4
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm4
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions4
Diophantine conditions in the law of the iterated logarithm for lacunary systems4
Phase transition for the late points of random walk4
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation4
Extremal invariant distributions of infinite Brownian particle systems with rank dependent drifts4
On the multi-bubble blow-up solutions to focusing mass-critical stochastic nonlinear Schrödinger equations in dimensions one and two4
Optimal transport methods for combinatorial optimization over two random point sets4
Average-case analysis of the Gaussian elimination with partial pivoting4
Propagation of chaos for maxima of particle systems with mean-field drift interaction4
Free boundary dimers: random walk representation and scaling limit4
Tight universal bounds on the height times the width of random trees4
Gaussian unitary ensemble in random lozenge tilings4
On the triviality of the shocked map4
Trees with exponential height dependent weight4
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise4
Capacity of the range of random walk: Moderate deviations in dimensions 4 and 54
Mean-field analysis of latent variable process models on dynamically evolving graphs with feedback effects4
Absence of percolation for infinite Poissonian systems of stopped paths4
Explicit formulas for the inverses of Toeplitz matrices, with applications4
Recurrence-Transience phase transition of the step-reinforced random walk at 1/24
Minimal distance between random orbits4
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs4
The incipient infinite cluster of the FK-Ising model in dimensions $$d\ge 3$$ and the susceptibility of the high-dimensional Ising model4
Stefan problem with surface tension: global existence of physical solutions under radial symmetry4
High-dimensional bootstrap and asymptotic expansion4
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes4
The local limit of rooted directed animals on the square lattice4
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