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 2022-05-01 to 2026-05-01.)
ArticleCitations
Fluctuations of the free energy in p-spin SK models on two scales39
Mixing time of random walk on dynamical random cluster27
On the local well-posedness of randomly forced reaction-diffusion equations with $$\varvec{L^2}$$ initial data and a superlinear reaction term25
Almost flat highest weights and application to Wilson loops on compact surfaces22
Correction to: Exact value of the resistance exponent for four dimensional random walk trace17
Compactness and fractal dimensions of inhomogeneous continuum random trees15
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces14
Gaussian deconvolution and the lace expansion13
The Brown measure of the free multiplicative Brownian motion13
Entropy-Transport distances between unbalanced metric measure spaces12
A spatially-dependent fragmentation process11
Strong posterior contraction rates via Wasserstein dynamics11
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$11
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions11
Parity questions in critical planar Brownian loop-soups (or “where did the free planar bosons go?”)11
Phase transition for the smallest eigenvalue of covariance matrices10
Martingale-driven integrals and singular SPDEs10
Distribution dependent SDEs driven by additive fractional Brownian motion9
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
Correction: Poisson representable processes9
Correction: An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions d > 69
Symmetric cooperative motion in one dimension8
Metastability between the clicks of Muller’s ratchet8
Strong solutions to McKean–Vlasov SDEs associated to a class of degenerate Fokker–Planck equations with coefficients of Nemytskii-type8
A multivariate extension of the Erdős–Taylor theorem8
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics8
Sharp uniform-in-time propagation of chaos7
Sparse reconstruction in spin systems II: Ising and other factor of IID measures7
Anomalous diffusion limit for a kinetic equation with a thermostatted interface7
Branching random walks and Minkowski sum of random walks7
Normal approximation for exponential random graphs7
The fuzzy Potts model in the plane: scaling limits and arm exponents7
Critical one-arm probability for the metric Gaussian free field in low dimensions7
Correction to: On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching7
Correction: Second time scale of the metastability of reversible inclusion processes7
McKean–Vlasov stochastic partial differential equations: existence, uniqueness and propagation of chaos6
Decorrelation transition in the Wigner minor process6
Contracting isometries and differentiability of the escape rate6
Quenched universality for deformed Wigner matrices6
Coupling between Brownian motion and random walks on the infinite percolation cluster6
Hamilton–Jacobi scaling limits of Pareto peeling in 2D6
Covariance estimation with direction dependence accuracy6
Convergence of three-dimensional loop-erased random walk in the natural parametrization6
The Brown measure of a family of free multiplicative Brownian motions6
Half-space Airy line ensembles6
Random generation and scaling limits of fixed genus factorizations into transpositions6
Optimal unimodular matchings5
Sampling from convex sets with a cold start using multiscale decompositions5
Correction to: Quenched large deviation principle for words in a letter sequence5
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets5
Quantitative stochastic homogenization for random conductance models with stable-like jumps5
The Doob transform and the tree behind the forest, with application to near-critical dimers5
Upper bounds on the one-arm exponent for dependent percolation models5
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere5
Six-vertex model with rare corners and random restricted permutations5
Quantitative stochastic homogenization of the G equation5
Upper tail of the spectral radius of sparse Erdös–Rényi graphs5
Quasi-static limit for the asymmetric simple exclusion5
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE5
Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions5
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains5
Central limit theorem for intrinsic Fréchet means in smooth compact Riemannian manifolds5
Non-reversible lifts of reversible diffusion processes and relaxation times5
Stationary local random countable sets over the Wiener noise5
Gaussian unitary ensemble in random lozenge tilings4
The incipient infinite cluster of the FK-Ising model in dimensions $$d\ge 3$$ and the susceptibility of the high-dimensional Ising model4
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm4
Semicircular families of general covariance from Wigner matrices with permuted entries4
Propagation of chaos for maxima of particle systems with mean-field drift interaction4
Average-case analysis of the Gaussian elimination with partial pivoting4
Free boundary dimers: random walk representation and scaling limit4
Wright–Fisher stochastic heat equations with irregular drifts4
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions4
The local limit of rooted directed animals on the square lattice4
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes4
On the multi-bubble blow-up solutions to focusing mass-critical stochastic nonlinear Schrödinger equations in dimensions one and two4
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs4
Recurrence-Transience phase transition of the step-reinforced random walk at 1/24
On the triviality of the shocked map4
Harnack inequality and one-endedness of UST on reversible random graphs4
Stefan problem with surface tension: global existence of physical solutions under radial symmetry4
Minimal distance between random orbits4
Absence of percolation for infinite Poissonian systems of stopped paths4
Diophantine conditions in the law of the iterated logarithm for lacunary systems4
The number of critical points of a Gaussian field: finiteness of moments4
The friendship paradox for sparse random graphs3
Ultra high order cumulants and quantitative CLT for polynomials in random matrices3
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation3
Mean-field analysis of latent variable process models on dynamically evolving graphs with feedback effects3
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms3
Optimal transport methods for combinatorial optimization over two random point sets3
Extremal invariant distributions of infinite Brownian particle systems with rank dependent drifts3
Asymptotics of generalized Bessel functions and weight multiplicities via large deviations of radial Dunkl processes3
On the Wiener chaos expansion of the signature of a Gaussian process3
Baxter permuton and Liouville quantum gravity3
A uniform Dvoretzky–Kiefer–Wolfowitz inequality3
White-noise driven conditional McKean–Vlasov limits for systems of particles with simultaneous and random jumps3
Regularisation by multiplicative noise for reaction–diffusion equations3
High-dimensional bootstrap and asymptotic expansion3
Mott’s law for the v.r.h. random resistor network and for Mott’s random walk3
Mesoscopic central limit theorem for non-Hermitian random matrices3
Conformally invariant boundary arcs in double dimers3
Trees with exponential height dependent weight3
Explicit formulas for the inverses of Toeplitz matrices, with applications3
Local law and rigidity for unitary Brownian motion3
Strong regularization by Brownian noise propagating through a weak Hörmander structure3
Hamilton–Jacobi equations from mean-field spin glasses3
Quantitative CLTs in deep neural networks3
Supercritical sharpness for Voronoi percolation3
Randomness and early termination: What makes a game exciting?3
Tightness for random walks driven by the planar Gaussian free field at high temperature3
Correction: The scaling limit of the root component in the wired minimal spanning forest of the poisson weighted infinite tree3
Moderate deviations of triangle counts in sparse Erdős-Rényi random graphs G(n, m) and G(n, p)3
Uniform-in-time estimates on corrections to mean field for interacting Brownian particles3
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise3
Tight universal bounds on the height times the width of random trees3
The area of spheres in the Brownian plane3
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem3
Nonparametric Bayesian estimation in a multidimensional diffusion model with high frequency data3
Number of paths in oriented percolation as zero temperature limit of directed polymer3
The algorithmic phase transition of random graph alignment problem3
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE3
Fleming–Viot couples live forever3
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