Probability Theory and Related Fields

Papers
(The median citation count of Probability Theory and Related Fields is 1. 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 2021-05-01 to 2025-05-01.)
ArticleCitations
Correction to: Exact value of the resistance exponent for four dimensional random walk trace30
Compactness and fractal dimensions of inhomogeneous continuum random trees26
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces22
Growth-fragmentation process embedded in a planar Brownian excursion22
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$16
Fluctuations of the free energy in p-spin SK models on two scales14
Strong posterior contraction rates via Wasserstein dynamics14
Gaussian deconvolution and the lace expansion14
The Brown measure of the free multiplicative Brownian motion12
Mixing time of random walk on dynamical random cluster12
A transportation approach to the mean-field approximation11
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions11
Height function delocalisation on cubic planar graphs11
Infinite disorder renormalization fixed point for the continuum random field Ising chain11
Entropy-Transport distances between unbalanced metric measure spaces11
Geometry of the minimal spanning tree of a random 3-regular graph11
Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees10
Cutoff profile of ASEP on a segment10
Measure estimation on manifolds: an optimal transport approach9
Martingale-driven integrals and singular SPDEs9
A spatially-dependent fragmentation process9
Phase transition for the smallest eigenvalue of covariance matrices9
Distribution dependent SDEs driven by additive fractional Brownian motion8
Branching random walks and Minkowski sum of random walks8
Poisson limit of bumping routes in the Robinson–Schensted correspondence8
Sharp uniform-in-time propagation of chaos8
A multivariate extension of the Erdős–Taylor theorem8
Regularity of laws via Dirichlet forms: application to quadratic forms in independent and identically distributed random variables8
A formula for boundary correlations of the critical Ising model8
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics8
On the computational tractability of statistical estimation on amenable graphs7
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections7
The fuzzy Potts model in the plane: scaling limits and arm exponents7
Symmetric cooperative motion in one dimension7
The Brown measure of a family of free multiplicative Brownian motions7
Hamilton–Jacobi scaling limits of Pareto peeling in 2D6
Random generation and scaling limits of fixed genus factorizations into transpositions6
Convergence of three-dimensional loop-erased random walk in the natural parametrization6
Anomalous diffusion limit for a kinetic equation with a thermostatted interface6
Correction: Second time scale of the metastability of reversible inclusion processes6
Quenched universality for deformed Wigner matrices6
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere5
Non-reversible lifts of reversible diffusion processes and relaxation times5
Upper tail of the spectral radius of sparse Erdös–Rényi graphs5
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains5
Upper bounds on the one-arm exponent for dependent percolation models5
Anchored expansion of Delaunay complexes in real hyperbolic space and stationary point processes5
Correction to: Quenched large deviation principle for words in a letter sequence5
The Doob transform and the tree behind the forest, with application to near-critical dimers5
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets5
Sampling from convex sets with a cold start using multiscale decompositions5
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE5
Quantitative stochastic homogenization of the G equation5
Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions5
Central limit theorem for intrinsic Fréchet means in smooth compact Riemannian manifolds5
On the triviality of the shocked map5
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs4
The number of solutions for random regular NAE-SAT4
The number of critical points of a Gaussian field: finiteness of moments4
Quantitative stochastic homogenization for random conductance models with stable-like jumps4
The distance exponent for Liouville first passage percolation is positive4
Accelerating abelian random walks with hyperbolic dynamics4
Diophantine conditions in the law of the iterated logarithm for lacunary systems4
Tests and estimation strategies associated to some loss functions4
Minimal distance between random orbits4
Regularity of SLE in $$(t,\kappa )$$ and refined GRR estimates4
Quasi-static limit for the asymmetric simple exclusion4
Non-uniformly parabolic equations and applications to the random conductance model4
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions4
Gaussian unitary ensemble in random lozenge tilings4
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm4
Stationary local random countable sets over the Wiener noise4
Isoperimetric profiles and random walks on some groups defined by piecewise actions4
Free boundary dimers: random walk representation and scaling limit4
Average-case analysis of the Gaussian elimination with partial pivoting4
Trees with exponential height dependent weight3
Extremal invariant distributions of infinite Brownian particle systems with rank dependent drifts3
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative3
Mesoscopic central limit theorem for non-Hermitian random matrices3
The local limit of rooted directed animals on the square lattice3
The friendship paradox for sparse random graphs3
Propagation of chaos for maxima of particle systems with mean-field drift interaction3
Randomness and early termination: What makes a game exciting?3
The local limit of uniform spanning trees3
White-noise driven conditional McKean–Vlasov limits for systems of particles with simultaneous and random jumps3
Semicircular families of general covariance from Wigner matrices with permuted entries3
Asymptotics of generalized Bessel functions and weight multiplicities via large deviations of radial Dunkl processes3
Explicit formulas for the inverses of Toeplitz matrices, with applications3
Local law and rigidity for unitary Brownian motion3
Harnack inequality and one-endedness of UST on reversible random graphs3
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem3
Optimal transport methods for combinatorial optimization over two random point sets3
Strong regularization by Brownian noise propagating through a weak Hörmander structure3
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise3
Stefan problem with surface tension: global existence of physical solutions under radial symmetry3
Quenched invariance principle for a class of random conductance models with long-range jumps3
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms3
Moderate deviations of triangle counts in sparse Erdős-Rényi random graphs G(n, m) and G(n, p)3
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes3
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation3
Convergence of the spectral radius of a random matrix through its characteristic polynomial3
Connection probabilities of multiple FK-Ising interfaces2
Correction: CLT in functional linear regression models2
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry2
Hidden diagonal integrability of q-Hahn vertex model and Beta polymer model2
Absence of zeros implies strong spatial mixing2
Quantitative CLTs in deep neural networks2
Fleming–Viot couples live forever2
The free energy of spherical pure p-spin models: computation from the TAP approach2
Local central limit theorem for gradient field models2
Benign overfitting and adaptive nonparametric regression2
Estimating the probability that a given vector is in the convex hull of a random sample2
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent2
Metastability cascades and prewetting in the SOS model2
On the Wiener chaos expansion of the signature of a Gaussian process2
On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching2
Stochastic quantization associated with the $$\exp (\Phi )_2$$-quantum field model driven by space-time white noise on the torus in the full $$L^1$$-regime2
From robust tests to Bayes-like posterior distributions2
Reversibility of whole-plane SLE for $$\kappa > 8$$2
The algorithmic phase transition of random graph alignment problem2
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE2
Baxter permuton and Liouville quantum gravity2
Nonparametric Bayesian estimation in a multidimensional diffusion model with high frequency data2
Minoration via mixed volumes and Cover’s problem for general channels2
From ABC to KPZ2
Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions2
A free boundary characterisation of the Root barrier for Markov processes2
Singular HJB equations with applications to KPZ on the real line2
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime2
Liouville dynamical percolation2
Density of imaginary multiplicative chaos via Malliavin calculus2
A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model2
Universal cutoff for Dyson Ornstein Uhlenbeck process2
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials2
Supercritical sharpness for Voronoi percolation2
Number of paths in oriented percolation as zero temperature limit of directed polymer2
Deviation results for sparse tables in hashing with linear probing2
Sharp threshold for the FA-2f kinetically constrained model2
Capacity lower bound for the Ising perceptron2
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation2
Weighted sums and Berry-Esseen type estimates in free probability theory2
There is no stationary cyclically monotone Poisson matching in 2d2
Spine representations for non-compact models of random geometry1
Dynamic polymers: invariant measures and ordering by noise1
Uniqueness and mixing properties of Doeblin measures1
Quenched local central limit theorem for random walks in a time-dependent balanced random environment1
Delocalisation and absolute-value-FKG in the solid-on-solid model1
The dynamical Ising-Kac model in 3D converges to $$\Phi ^4_3$$1
On the ergodicity of interacting particle systems under number rigidity1
Matrix Whittaker processes1
Bulk universality for complex non-Hermitian matrices with independent and identically distributed entries1
Minimal matchings of point processes1
Instantaneous everywhere-blowup of parabolic SPDEs1
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve1
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules1
Edge statistics for lozenge tilings of polygons, I: concentration of height function on strip domains1
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree1
A Ray–Knight theorem for $$\nabla \phi $$ interface models and scaling limits1
Quantitative recurrence for $$T,T^{-1}$$ transformations1
A geometrical viewpoint on the benign overfitting property of the minimum $$\ell _2$$-norm interpolant estimator and its universality1
A large-deviations principle for all the components in a sparse inhomogeneous random graph1
Random Euclidean coverage from within1
Spread of infections in a heterogeneous moving population1
Scaling limits of multi-type Markov Branching trees1
Limit theory for the first layers of the random convex hull peeling in the unit ball1
Periodic Lorentz gas with small scatterers1
On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices1
The replica-symmetric free energy for Ising spin glasses with orthogonally invariant couplings1
Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise1
Eve, Adam and the preferential attachment tree1
The sustainability probability for the critical Derrida–Retaux model1
Global solutions of aggregation equations and other flows with random diffusion1
Scaling limits for planar aggregation with subcritical fluctuations1
Fast-oscillating random perturbations of Hamiltonian systems1
W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds1
Characterizing models in regularity structures: a quasilinear case1
The critical variational setting for stochastic evolution equations1
Correction: Sandwiching dense random regular graphs between binomial random graphs1
Single eigenvalue fluctuations of general Wigner-type matrices1
Typical large graphs with given edge and triangle densities1
Correction to: Absolute continuity and singularity of Palm measures of the Ginibre point process1
On metastability1
Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space1
Spectral gap estimates for mixed p-spin models at high temperature1
Correction to: How linear reinforcement affects Donsker’s theorem for empirical processes1
Planar random-cluster model: fractal properties of the critical phase1
Approximation of martingale couplings on the line in the adapted weak topology1
Approximation of SDEs: a stochastic sewing approach1
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces1
Geodesic Lévy flights and expected stopping time for random searches1
Shift invariance of half space integrable models1
The multivariate functional de Jong CLT1
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration1
Failure of almost uniform convergence for noncommutative martingales1
The planted matching problem: sharp threshold and infinite-order phase transition1
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization1
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