Probability Theory and Related Fields

Article	Citations
Correction to: Exact value of the resistance exponent for four dimensional random walk trace	33
Compactness and fractal dimensions of inhomogeneous continuum random trees	26
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces	22
Growth-fragmentation process embedded in a planar Brownian excursion	22
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$	17
Strong posterior contraction rates via Wasserstein dynamics	17
Gaussian deconvolution and the lace expansion	15
Fluctuations of the free energy in p-spin SK models on two scales	15
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions	12
Mixing time of random walk on dynamical random cluster	12
Cutoff profile of ASEP on a segment	11
The Brown measure of the free multiplicative Brownian motion	11
Almost flat highest weights and application to Wilson loops on compact surfaces	11
Height function delocalisation on cubic planar graphs	11
Geometry of the minimal spanning tree of a random 3-regular graph	11
Entropy-Transport distances between unbalanced metric measure spaces	11
Measure estimation on manifolds: an optimal transport approach	10
Regularity of laws via Dirichlet forms: application to quadratic forms in independent and identically distributed random variables	10
Martingale-driven integrals and singular SPDEs	10
Distribution dependent SDEs driven by additive fractional Brownian motion	10
Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees	10
A formula for boundary correlations of the critical Ising model	9
Infinite disorder renormalization fixed point for the continuum random field Ising chain	9
A spatially-dependent fragmentation process	9
Poisson limit of bumping routes in the Robinson–Schensted correspondence	9

Phase transition for the smallest eigenvalue of covariance matrices	9
Branching random walks and Minkowski sum of random walks	8
On the computational tractability of statistical estimation on amenable graphs	8
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics	8
A multivariate extension of the Erdős–Taylor theorem	8
The fuzzy Potts model in the plane: scaling limits and arm exponents	7
Symmetric cooperative motion in one dimension	7
Sharp uniform-in-time propagation of chaos	7
Convergence of three-dimensional loop-erased random walk in the natural parametrization	7
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections	7
Hamilton–Jacobi scaling limits of Pareto peeling in 2D	6
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere	6
Anomalous diffusion limit for a kinetic equation with a thermostatted interface	6
Correction: Second time scale of the metastability of reversible inclusion processes	6
Quenched universality for deformed Wigner matrices	6
The Brown measure of a family of free multiplicative Brownian motions	6
Random generation and scaling limits of fixed genus factorizations into transpositions	6
The Doob transform and the tree behind the forest, with application to near-critical dimers	5
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE	5
Quantitative stochastic homogenization of the G equation	5
Upper tail of the spectral radius of sparse Erdös–Rényi graphs	5
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains	5
Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions	5
Anchored expansion of Delaunay complexes in real hyperbolic space and stationary point processes	5
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets	5
Sampling from convex sets with a cold start using multiscale decompositions	5
Non-reversible lifts of reversible diffusion processes and relaxation times	5
Correction to: Quenched large deviation principle for words in a letter sequence	5
Covariance estimation with direction dependence accuracy	5
Central limit theorem for intrinsic Fréchet means in smooth compact Riemannian manifolds	5
Upper bounds on the one-arm exponent for dependent percolation models	4
Isoperimetric profiles and random walks on some groups defined by piecewise actions	4
Free boundary dimers: random walk representation and scaling limit	4
Average-case analysis of the Gaussian elimination with partial pivoting	4
The number of solutions for random regular NAE-SAT	4
Diophantine conditions in the law of the iterated logarithm for lacunary systems	4
Six-vertex model with rare corners and random restricted permutations	4
The distance exponent for Liouville first passage percolation is positive	4
Non-uniformly parabolic equations and applications to the random conductance model	4
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions	4
Gaussian unitary ensemble in random lozenge tilings	4
Stationary local random countable sets over the Wiener noise	4
Accelerating abelian random walks with hyperbolic dynamics	4
Quantitative stochastic homogenization for random conductance models with stable-like jumps	4
Quasi-static limit for the asymmetric simple exclusion	4
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs	4
Tests and estimation strategies associated to some loss functions	4
On the triviality of the shocked map	4
Extremal invariant distributions of infinite Brownian particle systems with rank dependent drifts	3
Semicircular families of general covariance from Wigner matrices with permuted entries	3

Convergence of the spectral radius of a random matrix through its characteristic polynomial	3
The local limit of uniform spanning trees	3
Stefan problem with surface tension: global existence of physical solutions under radial symmetry	3
Local law and rigidity for unitary Brownian motion	3
Minimal distance between random orbits	3
The friendship paradox for sparse random graphs	3
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms	3
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem	3
The number of critical points of a Gaussian field: finiteness of moments	3
Trees with exponential height dependent weight	3
Harnack inequality and one-endedness of UST on reversible random graphs	3
Optimal transport methods for combinatorial optimization over two random point sets	3
Propagation of chaos for maxima of particle systems with mean-field drift interaction	3
Randomness and early termination: What makes a game exciting?	3
White-noise driven conditional McKean–Vlasov limits for systems of particles with simultaneous and random jumps	3
Quenched invariance principle for a class of random conductance models with long-range jumps	3
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise	3
Explicit formulas for the inverses of Toeplitz matrices, with applications	3
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative	3
The local limit of rooted directed animals on the square lattice	3
Mesoscopic central limit theorem for non-Hermitian random matrices	3
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm	3
Uniform-in-time estimates on corrections to mean field for interacting Brownian particles	3
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes	3
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation	3
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime	2
A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model	2
Stochastic quantization associated with the $$\exp (\Phi )_2$$-quantum field model driven by space-time white noise on the torus in the full $$L^1$$-regime	2
Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions	2
Reversibility of whole-plane SLE for $$\kappa > 8$$	2
On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching	2
Absence of zeros implies strong spatial mixing	2
Capacity lower bound for the Ising perceptron	2
Fleming–Viot couples live forever	2
Quantitative CLTs in deep neural networks	2
Moderate deviations of triangle counts in sparse Erdős-Rényi random graphs G(n, m) and G(n, p)	2
Density of imaginary multiplicative chaos via Malliavin calculus	2
From robust tests to Bayes-like posterior distributions	2
From ABC to KPZ	2
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation	2
Singular HJB equations with applications to KPZ on the real line	2
Hamilton–Jacobi equations from mean-field spin glasses	2
Connection probabilities of multiple FK-Ising interfaces	2
Universal cutoff for Dyson Ornstein Uhlenbeck process	2
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry	2
Nonparametric Bayesian estimation in a multidimensional diffusion model with high frequency data	2
Deviation results for sparse tables in hashing with linear probing	2
Baxter permuton and Liouville quantum gravity	2
Supercritical sharpness for Voronoi percolation	2
Asymptotics of generalized Bessel functions and weight multiplicities via large deviations of radial Dunkl processes	2
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE	2
There is no stationary cyclically monotone Poisson matching in 2d	2
Weighted sums and Berry-Esseen type estimates in free probability theory	2
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent	2
The free energy of spherical pure p-spin models: computation from the TAP approach	2
Hidden diagonal integrability of q-Hahn vertex model and Beta polymer model	2
Local central limit theorem for gradient field models	2
On the Wiener chaos expansion of the signature of a Gaussian process	2
Minoration via mixed volumes and Cover’s problem for general channels	2
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials	2
Metastability cascades and prewetting in the SOS model	2
The algorithmic phase transition of random graph alignment problem	2
Number of paths in oriented percolation as zero temperature limit of directed polymer	2
Strong regularization by Brownian noise propagating through a weak Hörmander structure	2
Correction: CLT in functional linear regression models	2
Estimating the probability that a given vector is in the convex hull of a random sample	2
Failure of almost uniform convergence for noncommutative martingales	1
Shift invariance of half space integrable models	1
Scaling limits for planar aggregation with subcritical fluctuations	1
Spread of infections in a heterogeneous moving population	1
Global solutions of aggregation equations and other flows with random diffusion	1
On metastability	1
A large-deviations principle for all the components in a sparse inhomogeneous random graph	1
The multivariate functional de Jong CLT	1
Single eigenvalue fluctuations of general Wigner-type matrices	1
Geodesic Lévy flights and expected stopping time for random searches	1
Limit theory for the first layers of the random convex hull peeling in the unit ball	1
On the ergodicity of interacting particle systems under number rigidity	1
Planar random-cluster model: fractal properties of the critical phase	1
Quantitative recurrence for $$T,T^{-1}$$ transformations	1

Edge statistics for lozenge tilings of polygons, I: concentration of height function on strip domains	1
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules	1
Approximation of SDEs: a stochastic sewing approach	1
Uniqueness and mixing properties of Doeblin measures	1
Correction to: Absolute continuity and singularity of Palm measures of the Ginibre point process	1
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve	1
The sustainability probability for the critical Derrida–Retaux model	1
A Ray–Knight theorem for $$\nabla \phi $$ interface models and scaling limits	1
Correction: Sandwiching dense random regular graphs between binomial random graphs	1
The planted matching problem: sharp threshold and infinite-order phase transition	1
Sharp threshold for the FA-2f kinetically constrained model	1
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization	1
Spine representations for non-compact models of random geometry	1
Random Euclidean coverage from within	1
Delocalisation and absolute-value-FKG in the solid-on-solid model	1
The dynamical Ising-Kac model in 3D converges to $$\Phi ^4_3$$	1
On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices	1
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration	1
Matrix Whittaker processes	1
Fast-oscillating random perturbations of Hamiltonian systems	1
Minimal matchings of point processes	1
Eve, Adam and the preferential attachment tree	1
Dynamic polymers: invariant measures and ordering by noise	1
Instantaneous everywhere-blowup of parabolic SPDEs	1
Characterizing models in regularity structures: a quasilinear case	1
The critical variational setting for stochastic evolution equations	1
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces	1
A geometrical viewpoint on the benign overfitting property of the minimum $$\ell _2$$-norm interpolant estimator and its universality	1
Benign overfitting and adaptive nonparametric regression	1
W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds	1
Quenched local central limit theorem for random walks in a time-dependent balanced random environment	1
Correction to: How linear reinforcement affects Donsker’s theorem for empirical processes	1
Bulk universality for complex non-Hermitian matrices with independent and identically distributed entries	1
Approximation of martingale couplings on the line in the adapted weak topology	1
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree	1
Spectral gap estimates for mixed p-spin models at high temperature	1
Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise	1
Typical large graphs with given edge and triangle densities	1