Probability Theory and Related Fields

Article	Citations
Correction to: Exact value of the resistance exponent for four dimensional random walk trace	35
Compactness and fractal dimensions of inhomogeneous continuum random trees	23
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$	20
Strong posterior contraction rates via Wasserstein dynamics	19
Fluctuations of the free energy in p-spin SK models on two scales	18
Gaussian deconvolution and the lace expansion	16
Mixing time of random walk on dynamical random cluster	15
Entropy-Transport distances between unbalanced metric measure spaces	13
Almost flat highest weights and application to Wilson loops on compact surfaces	12
Growth-fragmentation process embedded in a planar Brownian excursion	12
The Brown measure of the free multiplicative Brownian motion	12
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions	12
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces	11
Height function delocalisation on cubic planar graphs	11
Martingale-driven integrals and singular SPDEs	11
Cutoff profile of ASEP on a segment	11
Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees	11
Infinite disorder renormalization fixed point for the continuum random field Ising chain	10
Regularity of laws via Dirichlet forms: application to quadratic forms in independent and identically distributed random variables	10
Spherical integrals of sublinear rank	9
Distribution dependent SDEs driven by additive fractional Brownian motion	9
A spatially-dependent fragmentation process	9
Phase transition for the smallest eigenvalue of covariance matrices	8
Metastability between the clicks of Muller’s ratchet	7
Critical one-arm probability for the metric Gaussian free field in low dimensions	7

Measure estimation on manifolds: an optimal transport approach	7
Branching random walks and Minkowski sum of random walks	7
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics	7
A multivariate extension of the Erdős–Taylor theorem	7
Sharp uniform-in-time propagation of chaos	6
Correction: Second time scale of the metastability of reversible inclusion processes	6
Normal approximation for exponential random graphs	6
The Brown measure of a family of free multiplicative Brownian motions	6
On the computational tractability of statistical estimation on amenable graphs	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
Coupling between Brownian motion and random walks on the infinite percolation cluster	6
Symmetric cooperative motion in one dimension	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
Hamilton–Jacobi scaling limits of Pareto peeling in 2D	6
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections	6
Quantitative stochastic homogenization of the G equation	5
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE	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
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains	5
Six-vertex model with rare corners and random restricted permutations	5
Random generation and scaling limits of fixed genus factorizations into transpositions	5
Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions	5
The Doob transform and the tree behind the forest, with application to near-critical dimers	5
Central limit theorem for intrinsic Fréchet means in smooth compact Riemannian manifolds	5
Sampling from convex sets with a cold start using multiscale decompositions	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
Covariance estimation with direction dependence accuracy	5
Quenched universality for deformed Wigner matrices	5
Upper bounds on the one-arm exponent for dependent percolation models	5
Non-reversible lifts of reversible diffusion processes and relaxation times	5
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs	4
Free boundary dimers: random walk representation and scaling limit	4
Average-case analysis of the Gaussian elimination with partial pivoting	4
Wright–Fisher stochastic heat equations with irregular drifts	4
Quasi-static limit for the asymmetric simple exclusion	4
On the triviality of the shocked map	4
The distance exponent for Liouville first passage percolation is positive	4
Quantitative stochastic homogenization for random conductance models with stable-like jumps	4
Stationary local random countable sets over the Wiener noise	4
Accelerating abelian random walks with hyperbolic dynamics	4
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise	3
White-noise driven conditional McKean–Vlasov limits for systems of particles with simultaneous and random jumps	3
Stefan problem with surface tension: global existence of physical solutions under radial symmetry	3
Trees with exponential height dependent weight	3
Propagation of chaos for maxima of particle systems with mean-field drift interaction	3
Optimal transport methods for combinatorial optimization over two random point sets	3

Gaussian unitary ensemble in random lozenge tilings	3
Fleming–Viot couples live forever	3
Diophantine conditions in the law of the iterated logarithm for lacunary systems	3
Strong regularization by Brownian noise propagating through a weak Hörmander structure	3
Mesoscopic central limit theorem for non-Hermitian random matrices	3
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation	3
Uniform-in-time estimates on corrections to mean field for interacting Brownian particles	3
Semicircular families of general covariance from Wigner matrices with permuted entries	3
The local limit of rooted directed animals on the square lattice	3
Harnack inequality and one-endedness of UST on reversible random graphs	3
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm	3
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms	3
The number of solutions for random regular NAE-SAT	3
Moderate deviations of triangle counts in sparse Erdős-Rényi random graphs G(n, m) and G(n, p)	3
Local law and rigidity for unitary Brownian motion	3
The friendship paradox for sparse random graphs	3
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative	3
Explicit formulas for the inverses of Toeplitz matrices, with applications	3
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes	3
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions	3
Minimal distance between random orbits	3
Extremal invariant distributions of infinite Brownian particle systems with rank dependent drifts	3
The number of critical points of a Gaussian field: finiteness of moments	3
Asymptotics of generalized Bessel functions and weight multiplicities via large deviations of radial Dunkl processes	3
Randomness and early termination: What makes a game exciting?	3
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem	3
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
Absence of zeros implies strong spatial mixing	2
From ABC to KPZ	2
Hidden diagonal integrability of q-Hahn vertex model and Beta polymer model	2
Singular HJB equations with applications to KPZ on the real line	2
On the Wiener chaos expansion of the signature of a Gaussian process	2
Local central limit theorem for gradient field models	2
Quantitative CLTs in deep neural networks	2
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE	2
Reversibility of whole-plane SLE for $$\kappa > 8$$	2
Metastability cascades and prewetting in the SOS model	2
From robust tests to Bayes-like posterior distributions	2
The free energy of matrix models	2
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials	2
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation	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
A Ray–Knight theorem for $$\nabla \phi $$ interface models and scaling limits	2
Density of imaginary multiplicative chaos via Malliavin calculus	2
The free energy of spherical pure p-spin models: computation from the TAP approach	2
Number of paths in oriented percolation as zero temperature limit of directed polymer	2
Smoothness of random self-similar measures on the line and the existence of interior points	2
Capacity lower bound for the Ising perceptron	2
A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model	2
Hamilton–Jacobi equations from mean-field spin glasses	2
The algorithmic phase transition of random graph alignment problem	2
Minoration via mixed volumes and Cover’s problem for general channels	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
SDEs with critical time dependent drifts: strong solutions	2
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime	2
Weighted sums and Berry-Esseen type estimates in free probability theory	2
Nonparametric Bayesian estimation in a multidimensional diffusion model with high frequency data	2
Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions	2
Moment generating functions and moderate deviation principles for lacunary sums	2
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry	2
Universal cutoff for Dyson Ornstein Uhlenbeck process	2
Connection probabilities of multiple FK-Ising interfaces	2
A uniform Dvoretzky–Kiefer–Wolfowitz inequality	2
On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching	2
Supercritical sharpness for Voronoi percolation	2
Baxter permuton and Liouville quantum gravity	2
There is no stationary cyclically monotone Poisson matching in 2d	2
On metastability	2
Benign overfitting and adaptive nonparametric regression	2
Deviation results for sparse tables in hashing with linear probing	2
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent	2
A geometrical viewpoint on the benign overfitting property of the minimum $$\ell _2$$-norm interpolant estimator and its universality	1
Edge statistics for lozenge tilings of polygons, I: concentration of height function on strip domains	1
The sustainability probability for the critical Derrida–Retaux model	1
Limit theory for the first layers of the random convex hull peeling in the unit ball	1
Quantitative recurrence for $$T,T^{-1}$$ transformations	1
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve	1
The dynamical Ising-Kac model in 3D converges to $$\Phi ^4_3$$	1

W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds	1
Typical large graphs with given edge and triangle densities	1
Correction to: Absolute continuity and singularity of Palm measures of the Ginibre point process	1
Uniqueness and mixing properties of Doeblin measures	1
Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise	1
Instantaneous everywhere-blowup of parabolic SPDEs	1
Poisson representable processes	1
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree	1
Characterizing models in regularity structures: a quasilinear case	1
Catalan percolation	1
Sharp threshold for the FA-2f kinetically constrained model	1
Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups	1
Quantitative correlation inequalities via extremal power series	1
On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices	1
Bulk universality for complex non-Hermitian matrices with independent and identically distributed entries	1
Minimal matchings of point processes	1
Approximation of martingale couplings on the line in the adapted weak topology	1
The multivariate functional de Jong CLT	1
Correction: Sandwiching dense random regular graphs between binomial random graphs	1
Failure of almost uniform convergence for noncommutative martingales	1
Shift invariance of half space integrable models	1
Uncovering a graph	1
Matrix Whittaker processes	1
Bi-Coupling method and applications	1
Single eigenvalue fluctuations of general Wigner-type matrices	1
The planted matching problem: sharp threshold and infinite-order phase transition	1
The critical variational setting for stochastic evolution equations	1
Geodesic Lévy flights and expected stopping time for random searches	1
Concentration and moment inequalities for sums of independent heavy-tailed random matrices	1
Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space	1
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules	1
On the ergodicity of interacting particle systems under number rigidity	1
Random Euclidean coverage from within	1
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration	1
Scaling limits for planar aggregation with subcritical fluctuations	1
Fast-oscillating random perturbations of Hamiltonian systems	1
Dynamic polymers: invariant measures and ordering by noise	1
Global solutions of aggregation equations and other flows with random diffusion	1
Eve, Adam and the preferential attachment tree	1
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization	1
Minimal harmonic measure on 2D lattices	1