Probability Theory and Related Fields

Article	Citations
Correction to: Exact value of the resistance exponent for four dimensional random walk trace	37
Compactness and fractal dimensions of inhomogeneous continuum random trees	25
Strong posterior contraction rates via Wasserstein dynamics	25
Fluctuations of the free energy in p-spin SK models on two scales	23
Entropy-Transport distances between unbalanced metric measure spaces	20
Mixing time of random walk on dynamical random cluster	18
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces	16
Growth-fragmentation process embedded in a planar Brownian excursion	15
Almost flat highest weights and application to Wilson loops on compact surfaces	14
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions	12
Gaussian deconvolution and the lace expansion	12
The Brown measure of the free multiplicative Brownian motion	12
A spatially-dependent fragmentation process	11
Phase transition for the smallest eigenvalue of covariance matrices	11
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$	11
Regularity of laws via Dirichlet forms: application to quadratic forms in independent and identically distributed random variables	11
Infinite disorder renormalization fixed point for the continuum random field Ising chain	11
Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees	10
Cutoff profile of ASEP on a segment	10
Martingale-driven integrals and singular SPDEs	10
Measure estimation on manifolds: an optimal transport approach	9
Spherical integrals of sublinear rank	9
Branching random walks and Minkowski sum of random walks	8
Symmetric cooperative motion in one dimension	8
Distribution dependent SDEs driven by additive fractional Brownian motion	8

Metastability between the clicks of Muller’s ratchet	8
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections	8
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics	8
Critical one-arm probability for the metric Gaussian free field in low dimensions	8
On the computational tractability of statistical estimation on amenable graphs	7
Correction to: On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching	7
A multivariate extension of the Erdős–Taylor theorem	7
Sharp uniform-in-time propagation of chaos	6
Convergence of three-dimensional loop-erased random walk in the natural parametrization	6
Sparse reconstruction in spin systems II: Ising and other factor of IID measures	6
The Brown measure of a family of free multiplicative Brownian motions	6
Coupling between Brownian motion and random walks on the infinite percolation cluster	6
Normal approximation for exponential random graphs	6
Correction: Second time scale of the metastability of reversible inclusion processes	6
Decorrelation transition in the Wigner minor process	6
Hamilton–Jacobi scaling limits of Pareto peeling in 2D	6
Strong solutions to McKean–Vlasov SDEs associated to a class of degenerate Fokker–Planck equations with coefficients of Nemytskii-type	6
The fuzzy Potts model in the plane: scaling limits and arm exponents	6
Anomalous diffusion limit for a kinetic equation with a thermostatted interface	6
McKean–Vlasov stochastic partial differential equations: existence, uniqueness and propagation of chaos	6
Random generation and scaling limits of fixed genus factorizations into transpositions	6
Six-vertex model with rare corners and random restricted permutations	5
Upper bounds on the one-arm exponent for dependent percolation models	5
Quantitative stochastic homogenization of the G equation	5
Covariance estimation with direction dependence accuracy	5
Contracting isometries and differentiability of the escape rate	5
Correction to: Quenched large deviation principle for words in a letter sequence	5
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets	5
Upper tail of the spectral radius of sparse Erdös–Rényi graphs	5
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere	5
Optimal unimodular matchings	5
The Doob transform and the tree behind the forest, with application to near-critical dimers	5
Sampling from convex sets with a cold start using multiscale decompositions	5
Non-reversible lifts of reversible diffusion processes and relaxation times	5
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE	5
Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions	5
Quenched universality for deformed Wigner matrices	5
Central limit theorem for intrinsic Fréchet means in smooth compact Riemannian manifolds	4
Free boundary dimers: random walk representation and scaling limit	4
Stationary local random countable sets over the Wiener noise	4
Wright–Fisher stochastic heat equations with irregular drifts	4
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes	4
Stefan problem with surface tension: global existence of physical solutions under radial symmetry	4
Gaussian unitary ensemble in random lozenge tilings	4
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains	4
Quasi-static limit for the asymmetric simple exclusion	4
Average-case analysis of the Gaussian elimination with partial pivoting	4
Recurrence-Transience phase transition of the step-reinforced random walk at 1/2	4
The number of solutions for random regular NAE-SAT	4
Minimal distance between random orbits	4

On the triviality of the shocked map	4
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions	4
Quantitative stochastic homogenization for random conductance models with stable-like jumps	4
Accelerating abelian random walks with hyperbolic dynamics	4
Diophantine conditions in the law of the iterated logarithm for lacunary systems	4
The number of critical points of a Gaussian field: finiteness of moments	4
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm	4
Propagation of chaos for maxima of particle systems with mean-field drift interaction	4
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs	4
Extremal invariant distributions of infinite Brownian particle systems with rank dependent drifts	3
Supercritical sharpness for Voronoi percolation	3
Asymptotics of generalized Bessel functions and weight multiplicities via large deviations of radial Dunkl processes	3
White-noise driven conditional McKean–Vlasov limits for systems of particles with simultaneous and random jumps	3
The local limit of rooted directed animals on the square lattice	3
Explicit formulas for the inverses of Toeplitz matrices, with applications	3
Strong regularization by Brownian noise propagating through a weak Hörmander structure	3
Optimal transport methods for combinatorial optimization over two random point sets	3
Mesoscopic central limit theorem for non-Hermitian random matrices	3
Randomness and early termination: What makes a game exciting?	3
Fleming–Viot couples live forever	3
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem	3
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise	3
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms	3
Harnack inequality and one-endedness of UST on reversible random graphs	3
On the multi-bubble blow-up solutions to focusing mass-critical stochastic nonlinear Schrödinger equations in dimensions one and two	3
Local law and rigidity for unitary Brownian motion	3
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation	3
Hamilton–Jacobi equations from mean-field spin glasses	3
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 plane	3
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative	3
Trees with exponential height dependent weight	3
Semicircular families of general covariance from Wigner matrices with permuted entries	3
The friendship paradox for sparse random graphs	3
Uniform-in-time estimates on corrections to mean field for interacting Brownian particles	3
A Ray–Knight theorem for $$\nabla \phi $$ interface models and scaling limits	2
From ABC to KPZ	2
Absence of zeros implies strong spatial mixing	2
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent	2
Correction: CLT in functional linear regression models	2
Benign overfitting and adaptive nonparametric regression	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
Singular HJB equations with applications to KPZ on the real line	2
Reversibility of whole-plane SLE for $$\kappa > 8$$	2
Estimating the probability that a given vector is in the convex hull of a random sample	2
A uniform Dvoretzky–Kiefer–Wolfowitz inequality	2
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE	2
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry	2
Spread of infections in a heterogeneous moving population	2
A large-deviations principle for all the components in a sparse inhomogeneous random graph	2
Nonparametric Bayesian estimation in a multidimensional diffusion model with high frequency data	2
A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model	2
Universal cutoff for Dyson Ornstein Uhlenbeck process	2
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation	2
Capacity lower bound for the Ising perceptron	2
Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions	2
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime	2
Peeling the Brownian half-plane	2
Moment generating functions and moderate deviation principles for lacunary sums	2
From robust tests to Bayes-like posterior distributions	2
Baxter permuton and Liouville quantum gravity	2
Number of paths in oriented percolation as zero temperature limit of directed polymer	2
Connection probabilities of multiple FK-Ising interfaces	2
On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching	2
On metastability	2
The free energy of spherical pure p-spin models: computation from the TAP approach	2
Density of imaginary multiplicative chaos via Malliavin calculus	2
The free energy of matrix models	2
Deviation results for sparse tables in hashing with linear probing	2
Weighted sums and Berry-Esseen type estimates in free probability theory	2
There is no stationary cyclically monotone Poisson matching in 2d	2
SDEs with critical time dependent drifts: strong solutions	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
Smoothness of random self-similar measures on the line and the existence of interior points	2
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials	2
Minoration via mixed volumes and Cover’s problem for general channels	2
Quantitative CLTs in deep neural networks	2
The algorithmic phase transition of random graph alignment problem	2

An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $$d>4$$	2
Metastability cascades and prewetting in the SOS model	2
Shift invariance of half space integrable models	1
Size of chaos for Gibbs measures of mean field interacting diffusions	1
Correction: Sandwiching dense random regular graphs between binomial random graphs	1
Matrix Whittaker processes	1
Scaling limits for planar aggregation with subcritical fluctuations	1
Failure of almost uniform convergence for noncommutative martingales	1
Minimal matchings of point processes	1
A geometrical viewpoint on the benign overfitting property of the minimum $$\ell _2$$-norm interpolant estimator and its universality	1
Quantitative recurrence for $$T,T^{-1}$$ transformations	1
Sharp threshold for the FA-2f kinetically constrained model	1
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration	1
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization	1
Limit theory for the first layers of the random convex hull peeling in the unit ball	1
Dynamic polymers: invariant measures and ordering by noise	1
Instantaneous everywhere-blowup of parabolic SPDEs	1
Uncovering a graph	1
Bi-Coupling method and applications	1
Conformal welding of quantum disks and multiple SLE: the non-simple case	1
On the ergodicity of interacting particle systems under number rigidity	1
Geodesic Lévy flights and expected stopping time for random searches	1
W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds	1
Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise	1
The planted matching problem: sharp threshold and infinite-order phase transition	1
Single eigenvalue fluctuations of general Wigner-type matrices	1
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules	1
Catalan percolation	1
Approximation of martingale couplings on the line in the adapted weak topology	1
Minimal harmonic measure on 2D lattices	1
Typical large graphs with given edge and triangle densities	1
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve	1
Poisson representable processes	1
Eve, Adam and the preferential attachment tree	1
The replica-symmetric free energy for Ising spin glasses with orthogonally invariant couplings	1
Uniqueness and mixing properties of Doeblin measures	1
Bulk universality for complex non-Hermitian matrices with independent and identically distributed entries	1
Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups	1
Correction to: Absolute continuity and singularity of Palm measures of the Ginibre point process	1
The multivariate functional de Jong CLT	1
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree	1
Edge statistics for lozenge tilings of polygons, I: concentration of height function on strip domains	1
On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices	1
The critical variational setting for stochastic evolution equations	1
Fast-oscillating random perturbations of Hamiltonian systems	1
Characterizing models in regularity structures: a quasilinear case	1
The dynamical Ising-Kac model in 3D converges to $$\Phi ^4_3$$	1
Random Euclidean coverage from within	1
The $$\star $$-edge-reinforced random walk	1
Concentration and moment inequalities for sums of independent heavy-tailed random matrices	1
Global solutions of aggregation equations and other flows with random diffusion	1