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 2022-01-01 to 2026-01-01.)
ArticleCitations
Correction to: Exact value of the resistance exponent for four dimensional random walk trace29
Strong posterior contraction rates via Wasserstein dynamics26
Fluctuations of the free energy in p-spin SK models on two scales25
Entropy-Transport distances between unbalanced metric measure spaces22
Mixing time of random walk on dynamical random cluster20
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces17
Growth-fragmentation process embedded in a planar Brownian excursion15
Almost flat highest weights and application to Wilson loops on compact surfaces14
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions13
Compactness and fractal dimensions of inhomogeneous continuum random trees13
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$13
The Brown measure of the free multiplicative Brownian motion13
Gaussian deconvolution and the lace expansion12
Phase transition for the smallest eigenvalue of covariance matrices11
Spherical integrals of sublinear rank11
Measure estimation on manifolds: an optimal transport approach11
Infinite disorder renormalization fixed point for the continuum random field Ising chain11
A spatially-dependent fragmentation process11
Martingale-driven integrals and singular SPDEs11
Correction: Poisson representable processes10
Cutoff profile of ASEP on a segment10
Metastability between the clicks of Muller’s ratchet9
Regularity of laws via Dirichlet forms: application to quadratic forms in independent and identically distributed random variables9
Branching random walks and Minkowski sum of random walks9
Distribution dependent SDEs driven by additive fractional Brownian motion9
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics9
Symmetric cooperative motion in one dimension8
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections8
Critical one-arm probability for the metric Gaussian free field in low dimensions7
Sharp uniform-in-time propagation of chaos7
Strong solutions to McKean–Vlasov SDEs associated to a class of degenerate Fokker–Planck equations with coefficients of Nemytskii-type7
A multivariate extension of the Erdős–Taylor theorem7
Correction to: On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching7
Normal approximation for exponential random graphs7
The fuzzy Potts model in the plane: scaling limits and arm exponents6
Anomalous diffusion limit for a kinetic equation with a thermostatted interface6
Decorrelation transition in the Wigner minor process6
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere6
Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions6
McKean–Vlasov stochastic partial differential equations: existence, uniqueness and propagation of chaos6
Convergence of three-dimensional loop-erased random walk in the natural parametrization6
Sparse reconstruction in spin systems II: Ising and other factor of IID measures6
The Brown measure of a family of free multiplicative Brownian motions6
Quenched universality for deformed Wigner matrices6
Optimal unimodular matchings6
Correction: Second time scale of the metastability of reversible inclusion processes6
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
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE6
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains5
Quantitative stochastic homogenization of the G equation5
Six-vertex model with rare corners and random restricted permutations5
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
Sampling from convex sets with a cold start using multiscale decompositions5
Upper tail of the spectral radius of sparse Erdös–Rényi graphs5
Random generation and scaling limits of fixed genus factorizations into transpositions5
Non-reversible lifts of reversible diffusion processes and relaxation times5
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets5
Contracting isometries and differentiability of the escape rate5
Correction to: Quenched large deviation principle for words in a letter sequence5
Central limit theorem for intrinsic Fréchet means in smooth compact Riemannian manifolds5
Diophantine conditions in the law of the iterated logarithm for lacunary systems4
Accelerating abelian random walks with hyperbolic dynamics4
Gaussian unitary ensemble in random lozenge tilings4
Propagation of chaos for maxima of particle systems with mean-field drift interaction4
Optimal transport methods for combinatorial optimization over two random point sets4
Minimal distance between random orbits4
The local limit of rooted directed animals on the square lattice4
Absence of percolation for infinite Poissonian systems of stopped paths4
Recurrence-Transience phase transition of the step-reinforced random walk at 1/24
Quantitative stochastic homogenization for random conductance models with stable-like jumps4
Quasi-static limit for the asymmetric simple exclusion4
Average-case analysis of the Gaussian elimination with partial pivoting4
Stefan problem with surface tension: global existence of physical solutions under radial symmetry4
Semicircular families of general covariance from Wigner matrices with permuted entries4
On the multi-bubble blow-up solutions to focusing mass-critical stochastic nonlinear Schrödinger equations in dimensions one and two4
Wright–Fisher stochastic heat equations with irregular drifts4
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes4
The number of critical points of a Gaussian field: finiteness of moments4
Stationary local random countable sets over the Wiener noise4
Free boundary dimers: random walk representation and scaling limit4
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs4
Extremal invariant distributions of infinite Brownian particle systems with rank dependent drifts4
Harnack inequality and one-endedness of UST on reversible random graphs4
The incipient infinite cluster of the FK-Ising model in dimensions $$d\ge 3$$ and the susceptibility of the high-dimensional Ising model4
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions4
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm4
On the triviality of the shocked map4
Explicit formulas for the inverses of Toeplitz matrices, with applications3
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation3
Ultra high order cumulants and quantitative CLT for polynomials in random matrices3
The algorithmic phase transition of random graph alignment problem3
Baxter permuton and Liouville quantum gravity3
Supercritical sharpness for Voronoi percolation3
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE3
Strong regularization by Brownian noise propagating through a weak Hörmander structure3
The friendship paradox for sparse random graphs3
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative3
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise3
Local law and rigidity for unitary Brownian motion3
Asymptotics of generalized Bessel functions and weight multiplicities via large deviations of radial Dunkl processes3
A uniform Dvoretzky–Kiefer–Wolfowitz inequality3
Quantitative CLTs in deep neural networks3
Fleming–Viot couples live forever3
Uniform-in-time estimates on corrections to mean field for interacting Brownian particles3
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem3
Trees with exponential height dependent weight3
Mesoscopic central limit theorem for non-Hermitian random matrices3
White-noise driven conditional McKean–Vlasov limits for systems of particles with simultaneous and random jumps3
On the Wiener chaos expansion of the signature of a Gaussian process3
Number of paths in oriented percolation as zero temperature limit of directed polymer3
Hamilton–Jacobi equations from mean-field spin glasses3
Moderate deviations of triangle counts in sparse Erdős-Rényi random graphs G(n, m) and G(n, p)3
The area of spheres in the Brownian plane3
Randomness and early termination: What makes a game exciting?3
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms3
Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions2
The planted matching problem: sharp threshold and infinite-order phase transition2
Capacity lower bound for the Ising perceptron2
Minoration via mixed volumes and Cover’s problem for general channels2
On metastability2
Deviation results for sparse tables in hashing with linear probing2
Weighted sums and Berry-Esseen type estimates in free probability theory2
Smoothness of random self-similar measures on the line and the existence of interior points2
A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model2
Correction: CLT in functional linear regression models2
Estimating the probability that a given vector is in the convex hull of a random sample2
Universal cutoff for Dyson Ornstein Uhlenbeck process2
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime2
Moment generating functions and moderate deviation principles for lacunary sums2
Hidden diagonal integrability of q-Hahn vertex model and Beta polymer model2
An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $$d>4$$2
Singular HJB equations with applications to KPZ on the real line2
Catalan percolation2
Minimal harmonic measure on 2D lattices2
From robust tests to Bayes-like posterior distributions2
A Ray–Knight theorem for $$\nabla \phi $$ interface models and scaling limits2
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry2
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization2
The free energy of spherical pure p-spin models: computation from the TAP approach2
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation2
The scaling limit of the root component in the Wired Minimal Spanning Forest of the Poisson Weighted Infinite Tree2
Favorite sites for simple random walk in two and more dimensions2
Absence of zeros implies strong spatial mixing2
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent2
Density of imaginary multiplicative chaos via Malliavin calculus2
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
Local central limit theorem for gradient field models2
Sharp threshold for the FA-2f kinetically constrained model2
Characterizing models in regularity structures: a quasilinear case2
Spread of infections in a heterogeneous moving population2
Metastability cascades and prewetting in the SOS model2
There is no stationary cyclically monotone Poisson matching in 2d2
Benign overfitting and adaptive nonparametric regression2
On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching2
From ABC to KPZ2
Connection probabilities of multiple FK-Ising interfaces2
The free energy of matrix models2
Reversibility of whole-plane SLE for $$\kappa > 8$$2
SDEs with critical time dependent drifts: strong solutions2
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials2
Nonparametric Bayesian estimation in a multidimensional diffusion model with high frequency data2
Peeling the Brownian half-plane2
Geodesic Lévy flights and expected stopping time for random searches1
The $$\star $$-edge-reinforced random walk1
The dynamical Ising-Kac model in 3D converges to $$\Phi ^4_3$$1
Uncovering a graph1
Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape1
Concentration and moment inequalities for sums of independent heavy-tailed random matrices1
Eve, Adam and the preferential attachment tree1
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree1
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
Edge statistics for lozenge tilings of polygons, I: concentration of height function on strip domains1
Shift invariance of half space integrable models1
On the ergodicity of interacting particle systems under number rigidity1
Fast-oscillating random perturbations of Hamiltonian systems1
Scaling limits for planar aggregation with subcritical fluctuations1
Conformal welding of quantum disks and multiple SLE: the non-simple case1
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration1
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve1
Poisson representable processes1
Failure of almost uniform convergence for noncommutative martingales1
Instantaneous everywhere-blowup of parabolic SPDEs1
The critical variational setting for stochastic evolution equations1
Correction: Sandwiching dense random regular graphs between binomial random graphs1
Matrix Whittaker processes1
Single eigenvalue fluctuations of general Wigner-type matrices1
Regularity and stability for the Gibbs conditioning principle on path space via McKean-Vlasov control1
Random Euclidean coverage from within1
KPZ equation with a small noise, deep upper tail and limit shape1
Size of chaos for Gibbs measures of mean field interacting diffusions1
Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups1
Quantitative recurrence for $$T,T^{-1}$$ transformations1
Correction to: Absolute continuity and singularity of Palm measures of the Ginibre point process1
Uniqueness and mixing properties of Doeblin measures1
Approximation of martingale couplings on the line in the adapted weak topology1
Typical large graphs with given edge and triangle densities1
Global solutions of aggregation equations and other flows with random diffusion1
Measure estimation on a manifold explored by a diffusion process1
Bi-Coupling method and applications1
Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise1
Minimal matchings of point processes1
Large deviations of the giant in supercritical kernel-based spatial random graphs1
Dynamical random field Ising model at zero temperature1
The multivariate functional de Jong CLT1
The replica-symmetric free energy for Ising spin glasses with orthogonally invariant couplings1
Bulk universality for complex non-Hermitian matrices with independent and identically distributed entries1
W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds1
On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices1
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules1
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