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	30
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$	22
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	17
Mixing time of random walk on dynamical random cluster	15
Entropy-Transport distances between unbalanced metric measure spaces	15
Growth-fragmentation process embedded in a planar Brownian excursion	12
The Brown measure of the free multiplicative Brownian motion	11
Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees	11
Cutoff profile of ASEP on a segment	11
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions	11
Almost flat highest weights and application to Wilson loops on compact surfaces	11
Martingale-driven integrals and singular SPDEs	11
Height function delocalisation on cubic planar graphs	11
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces	11
Distribution dependent SDEs driven by additive fractional Brownian motion	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
A formula for boundary correlations of the critical Ising model	9
Poisson limit of bumping routes in the Robinson–Schensted correspondence	9
A spatially-dependent fragmentation process	8
Measure estimation on manifolds: an optimal transport approach	8
Branching random walks and Minkowski sum of random walks	7

A multivariate extension of the Erdős–Taylor theorem	7
Phase transition for the smallest eigenvalue of covariance matrices	7
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics	7
Symmetric cooperative motion in one dimension	7
Sparse reconstruction in spin systems II: Ising and other factor of IID measures	6
Sharp uniform-in-time propagation of chaos	6
Metastability between the clicks of Muller’s ratchet	6
Correction: Second time scale of the metastability of reversible inclusion processes	6
Convergence of three-dimensional loop-erased random walk in the natural parametrization	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
The Brown measure of a family of free multiplicative Brownian motions	6
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections	6
Critical one-arm probability for the metric Gaussian free field in low dimensions	6
Anomalous diffusion limit for a kinetic equation with a thermostatted interface	6
Covariance estimation with direction dependence accuracy	5
Random generation and scaling limits of fixed genus factorizations into transpositions	5
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE	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
Non-reversible lifts of reversible diffusion processes and relaxation times	5
Hamilton–Jacobi scaling limits of Pareto peeling in 2D	5
Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions	5
Correction to: Quenched large deviation principle for words in a letter sequence	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
Quantitative stochastic homogenization of the G equation	5
Normal approximation for exponential random graphs	5
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere	5
Quenched universality for deformed Wigner matrices	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
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs	4
Gaussian unitary ensemble in random lozenge tilings	4
Six-vertex model with rare corners and random restricted permutations	4
The distance exponent for Liouville first passage percolation is positive	4
Average-case analysis of the Gaussian elimination with partial pivoting	4
The number of critical points of a Gaussian field: finiteness of moments	4
Upper bounds on the one-arm exponent for dependent percolation models	4
Accelerating abelian random walks with hyperbolic dynamics	4
Quasi-static limit for the asymmetric simple exclusion	4
Stationary local random countable sets over the Wiener noise	4
Free boundary dimers: random walk representation and scaling limit	4
Quantitative stochastic homogenization for random conductance models with stable-like jumps	4
Propagation of chaos for maxima of particle systems with mean-field drift interaction	3
The number of solutions for random regular NAE-SAT	3
On the triviality of the shocked map	3
Extremal invariant distributions of infinite Brownian particle systems with rank dependent drifts	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
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms	3
White-noise driven conditional McKean–Vlasov limits for systems of particles with simultaneous and random jumps	3
Explicit formulas for the inverses of Toeplitz matrices, with applications	3
The local limit of rooted directed animals on the square lattice	3
Stefan problem with surface tension: global existence of physical solutions under radial symmetry	3
Diophantine conditions in the law of the iterated logarithm for lacunary systems	3
Trees with exponential height dependent weight	3
Optimal transport methods for combinatorial optimization over two random point sets	3
Number of paths in oriented percolation as zero temperature limit of directed polymer	3
Strong regularization by Brownian noise propagating through a weak Hörmander structure	3
Asymptotics of generalized Bessel functions and weight multiplicities via large deviations of radial Dunkl processes	3
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem	3
Randomness and early termination: What makes a game exciting?	3
Semicircular families of general covariance from Wigner matrices with permuted entries	3
Harnack inequality and one-endedness of UST on reversible random graphs	3
Minimal distance between random orbits	3
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions	3
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes	3
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise	3
Fleming–Viot couples live forever	3
Mesoscopic central limit theorem for non-Hermitian random matrices	3
Uniform-in-time estimates on corrections to mean field for interacting Brownian particles	3
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation	3
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative	3
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm	3
Local central limit theorem for gradient field models	2
Characterizing models in regularity structures: a quasilinear case	2
Metastability cascades and prewetting in the SOS model	2
A Ray–Knight theorem for $$\nabla \phi $$ interface models and scaling limits	2
Minoration via mixed volumes and Cover’s problem for general channels	2
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent	2
Correction: CLT in functional linear regression models	2
Weighted sums and Berry-Esseen type estimates in free probability theory	2
Deviation results for sparse tables in hashing with linear probing	2
Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions	2
There is no stationary cyclically monotone Poisson matching in 2d	2
Hidden diagonal integrability of q-Hahn vertex model and Beta polymer model	2
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry	2
Connection probabilities of multiple FK-Ising interfaces	2
Supercritical sharpness for Voronoi percolation	2
Baxter permuton and Liouville quantum gravity	2
Singular HJB equations with applications to KPZ on the real line	2
The planted matching problem: sharp threshold and infinite-order phase transition	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
SDEs with critical time dependent drifts: strong solutions	2
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime	2
Estimating the probability that a given vector is in the convex hull of a random sample	2
Capacity lower bound for the Ising perceptron	2
A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model	2
Density of imaginary multiplicative chaos via Malliavin calculus	2
Reversibility of whole-plane SLE for $$\kappa > 8$$	2
Smoothness of random self-similar measures on the line and the existence of interior points	2
Hamilton–Jacobi equations from mean-field spin glasses	2
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE	2
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials	2
The free energy of spherical pure p-spin models: computation from the TAP approach	2
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization	2
On metastability	2
Benign overfitting and adaptive nonparametric regression	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 geometrical viewpoint on the benign overfitting property of the minimum $$\ell _2$$-norm interpolant estimator and its universality	2
From robust tests to Bayes-like posterior distributions	2
From ABC to KPZ	2
Absence of zeros implies strong spatial mixing	2
On the Wiener chaos expansion of the signature of a Gaussian process	2
On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching	2
Universal cutoff for Dyson Ornstein Uhlenbeck process	2
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation	2
Quantitative CLTs in deep neural networks	2
The algorithmic phase transition of random graph alignment problem	2
The dynamical Ising-Kac model in 3D converges to $$\Phi ^4_3$$	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
Correction: Sandwiching dense random regular graphs between binomial random graphs	1
Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise	1
Uniqueness and mixing properties of Doeblin measures	1
Eve, Adam and the preferential attachment tree	1

Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve	1
The replica-symmetric free energy for Ising spin glasses with orthogonally invariant couplings	1
W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds	1
Quantitative correlation inequalities via extremal power series	1
Delocalisation and absolute-value-FKG in the solid-on-solid model	1
Dynamic polymers: invariant measures and ordering by noise	1
Poisson representable processes	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
Global solutions of aggregation equations and other flows with random diffusion	1
Minimal harmonic measure on 2D lattices	1
Shift invariance of half space integrable models	1
Bi-Coupling method and applications	1
Geodesic Lévy flights and expected stopping time for random searches	1
Quenched local central limit theorem for random walks in a time-dependent balanced random environment	1
Random Euclidean coverage from within	1
Local times and capacity for transient branching random walks	1
The multivariate functional de Jong CLT	1
Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space	1
Correction to: How linear reinforcement affects Donsker’s theorem for empirical processes	1
Minimal matchings of point processes	1
On the ergodicity of interacting particle systems under number rigidity	1
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree	1
Approximation of martingale couplings on the line in the adapted weak topology	1
Single eigenvalue fluctuations of general Wigner-type matrices	1
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules	1
Bulk universality for complex non-Hermitian matrices with independent and identically distributed entries	1
Instantaneous everywhere-blowup of parabolic SPDEs	1
Correction to: Absolute continuity and singularity of Palm measures of the Ginibre point process	1
Scaling limits for planar aggregation with subcritical fluctuations	1
The sustainability probability for the critical Derrida–Retaux model	1
KPZ equation with a small noise, deep upper tail and limit shape	1
Typical large graphs with given edge and triangle densities	1
New results for the random nearest neighbor tree	1
Failure of almost uniform convergence for noncommutative martingales	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
Matrix Whittaker processes	1