Probability Theory and Related Fields

Article	Citations
Rearranged Stochastic Heat Equation	26
Equivalence of approximate message passing and low-degree polynomials in rank-one matrix estimation	25
Geodesic Lévy flights and expected stopping time for random searches	22
Quantitative stochastic homogenization for random conductance models with stable-like jumps	22
Quantitative CLTs in deep neural networks	15
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE	14
A transportation approach to the mean-field approximation	14
Supercritical sharpness for Voronoi percolation	14
Failure of almost uniform convergence for noncommutative martingales	14
The sustainability probability for the critical Derrida–Retaux model	12
On planar graphs of uniform polynomial growth	11
Stationary local random countable sets over the Wiener noise	11
Functional inequalities for Brownian motion on manifolds with sticky-reflecting boundary diffusion	10
Finite free convolutions of polynomials	10
Cutoff profiles for quantum Lévy processes and quantum random transpositions	9
Gaussian unitary ensemble in random lozenge tilings	9
Fluctuations of the free energy in p-spin SK models on two scales	9
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve	9
Growth-fragmentation process embedded in a planar Brownian excursion	8
Accelerating abelian random walks with hyperbolic dynamics	8
Convergence of genealogies through spinal decomposition with an application to population genetics	8
Number of paths in oriented percolation as zero temperature limit of directed polymer	8
Regularity of SLE in $$(t,\kappa )$$ and refined GRR estimates	8
Baxter permuton and Liouville quantum gravity	7
Limit profiles for reversible Markov chains	7

Random Euclidean coverage from within	7
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions	7
Typical large graphs with given edge and triangle densities	7
The distance exponent for Liouville first passage percolation is positive	7
Quasi-static limit for the asymmetric simple exclusion	6
The Brown measure of the free multiplicative Brownian motion	6
Dirichlet forms on unconstrained Sierpinski carpets	6
Diophantine conditions in the law of the iterated logarithm for lacunary systems	6
Tests and estimation strategies associated to some loss functions	6
Isoperimetric profiles and random walks on some groups defined by piecewise actions	6
The number of solutions for random regular NAE-SAT	5
Edgeworth approximations for distributions of symmetric statistics	5
Free boundary dimers: random walk representation and scaling limit	5
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions	5
Mixing time of random walk on dynamical random cluster	5
Multi-point distribution of discrete time periodic TASEP	5
Fleming–Viot couples live forever	5
Co-evolving dynamic networks	5
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces	5
Average-case analysis of the Gaussian elimination with partial pivoting	5
The multivariate functional de Jong CLT	5
The fixed points of branching Brownian motion	5
Strong posterior contraction rates via Wasserstein dynamics	5
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$	5
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree	5
Compactness and fractal dimensions of inhomogeneous continuum random trees	5
Non-uniformly parabolic equations and applications to the random conductance model	5
Asymptotic moments of spatial branching processes	5
The Allen–Cahn equation with weakly critical random initial datum	4
Gaussian deconvolution and the lace expansion	4
Correction to: Exact value of the resistance exponent for four dimensional random walk trace	4
The algorithmic phase transition of random graph alignment problem	4
Correction to: Random-walk in Beta-distributed random environment	4
Harry Kesten (1931–2019)	4
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm	4
W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds	4
Height function delocalisation on cubic planar graphs	4
Scaling limits for planar aggregation with subcritical fluctuations	4
Correction to: Absolute continuity and singularity of Palm measures of the Ginibre point process	4
Regularity of laws via Dirichlet forms: application to quadratic forms in independent and identically distributed random variables	4
Entropy-Transport distances between unbalanced metric measure spaces	4
A spectral condition for spectral gap: fast mixing in high-temperature Ising models	4
The number of critical points of a Gaussian field: finiteness of moments	4
Extremal singular values of random matrix products and Brownian motion on $$\textsf {GL} (N,\mathbb {C})$$	4
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs	4
Rough weak solutions for singular Lévy SDEs	4
On the triviality of the shocked map	4
Nonparametric Bayesian estimation in a multidimensional diffusion model with high frequency data	4
A tale of two balloons	4
Measure estimation on manifolds: an optimal transport approach	4

Instantaneous everywhere-blowup of parabolic SPDEs	3
Central limit type theorem and large deviation principle for multi-scale McKean–Vlasov SDEs	3
Fluctuations of $$\beta $$-Jacobi product processes	3
Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees	3
Cutoff profile of ASEP on a segment	3
Propagation of chaos for maxima of particle systems with mean-field drift interaction	3
Subexponential lower bounds for f-ergodic Markov processes	3
Eve, Adam and the preferential attachment tree	3
N-sided radial Schramm–Loewner evolution	3
Uniqueness and mixing properties of Doeblin measures	3
Geometry of Gaussian free field sign clusters and random interlacements	3
KPZ exponents for the half-space log-gamma polymer	3
Last passage isometries for the directed landscape	3
Motion by mean curvature in interacting particle systems	3
Distribution dependent SDEs driven by additive fractional Brownian motion	3
Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups	3
Minimal distance between random orbits	3
Markov processes related to the stationary measure for the open KPZ equation	3
Shift invariance of half space integrable models	3
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes	3
Poisson limit of bumping routes in the Robinson–Schensted correspondence	3
Universal cutoff for Dyson Ornstein Uhlenbeck process	3
On the Wiener chaos expansion of the signature of a Gaussian process	3
Heat kernel for reflected diffusion and extension property on uniform domains	3
Phase transition for random walks on graphs with added weighted random matching	3
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials	3
Random-field random surfaces	2
Infinite disorder renormalization fixed point for the continuum random field Ising chain	2
There is no stationary cyclically monotone Poisson matching in 2d	2
Stable random fields, Patterson–Sullivan measures and extremal cocycle growth	2
Fast-oscillating random perturbations of Hamiltonian systems	2
Convergence of the spectral radius of a random matrix through its characteristic polynomial	2
Harnack inequality and one-endedness of UST on reversible random graphs	2
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms	2
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces	2
Reversibility of whole-plane SLE for $$\kappa > 8$$	2
Hidden diagonal integrability of q-Hahn vertex model and Beta polymer model	2
The local limit of rooted directed animals on the square lattice	2
Cut-off phenomenon for the ax+b Markov chain over a finite field	2
Martingale-driven integrals and singular SPDEs	2
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime	2
Bulk universality for complex non-Hermitian matrices with independent and identically distributed entries	2
Lyapunov exponents and shear-induced chaos for a Hopf bifurcation with additive noise	2
Subcritical Gaussian multiplicative chaos in the Wiener space: construction, moments and volume decay	2
Sums of GUE matrices and concentration of hives from correlation decay of eigengaps	2
Exponential decay of transverse correlations for O(N) spin systems and related models	2
Correction to: Asymptotic moments of spatial branching processes	2
Exact matching of random graphs with constant correlation	2
Geometry of the minimal spanning tree of a random 3-regular graph	2
Branching random walks and Minkowski sum of random walks	2
A spatially-dependent fragmentation process	2
Density of imaginary multiplicative chaos via Malliavin calculus	2
Global solutions of aggregation equations and other flows with random diffusion	2
Absence of zeros implies strong spatial mixing	2
Extremal invariant distributions of infinite Brownian particle systems with rank dependent drifts	2
An invariance principle for the 2d weakly self-repelling Brownian polymer	2
Effective diffusivities in periodic KPZ	2
A formula for boundary correlations of the critical Ising model	2
The dynamical Ising-Kac model in 3D converges to $$\Phi ^4_3$$	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
CLT for NESS of a reaction-diffusion model	2
Stefan problem with surface tension: global existence of physical solutions under radial symmetry	2
Random walks on $$\textrm{SL}_2({\mathbb {C}})$$: spectral gap and limit theorems	2
Phase transition for the smallest eigenvalue of covariance matrices	2
On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching	1
Planar random-cluster model: fractal properties of the critical phase	1
Correction: CLT in functional linear regression models	1
On the computational tractability of statistical estimation on amenable graphs	1
Fluctuations of the log-gamma polymer free energy with general parameters and slopes	1
One-point distribution of the geodesic in directed last passage percolation	1
Symmetric cooperative motion in one dimension	1
Local geometry of NAE-SAT solutions in the condensation regime	1
The Allen–Cahn equation with generic initial datum	1
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise	1
Approximation of martingale couplings on the line in the adapted weak topology	1
The overlap gap property in principal submatrix recovery	1
From robust tests to Bayes-like posterior distributions	1
Geometric bounds on the fastest mixing Markov chain	1
Sharp uniform-in-time propagation of chaos	1
On the ergodicity of interacting particle systems under number rigidity	1

The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration	1
White-noise driven conditional McKean–Vlasov limits for systems of particles with simultaneous and random jumps	1
Semi-infinite particle systems with exclusion interaction and heterogeneous jump rates	1
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections	1
The free energy of spherical pure p-spin models: computation from the TAP approach	1
Deviation results for sparse tables in hashing with linear probing	1
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry	1
On questions of uniqueness for the vacant set of Wiener sausages and Brownian interlacements	1
Singular HJB equations with applications to KPZ on the real line	1
On the $$\Phi $$-stability and related conjectures	1
On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices	1
Exceptional points of two-dimensional random walks at multiples of the cover time	1
Explicit formulas for the inverses of Toeplitz matrices, with applications	1
TASEP and generalizations: method for exact solution	1
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules	1
Fluctuations of extreme eigenvalues of sparse Erdős–Rényi graphs	1
Minoration via mixed volumes and Cover’s problem for general channels	1
Capacity lower bound for the Ising perceptron	1
Correction: Sandwiching dense random regular graphs between binomial random graphs	1
Metastability cascades and prewetting in the SOS model	1
Liouville dynamical percolation	1
Connection probabilities of multiple FK-Ising interfaces	1
The local limit of uniform spanning trees	1
Semicircular families of general covariance from Wigner matrices with permuted entries	1
Sharp Poincaré and log-Sobolev inequalities for the switch chain on regular bipartite graphs	1
Quantitative recurrence for $$T,T^{-1}$$ transformations	1
Trees with exponential height dependent weight	1
Regularity preservation in Kolmogorov equations for non-Lipschitz coefficients under Lyapunov conditions	1
Fully-connected bond percolation on $${\mathbb {Z}}^d$$	1
Polynomial ballisticity conditions and invariance principle for random walks in strong mixing environments	1
Correction to: Speeding up Markov chains with deterministic jumps	1
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics	1
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative	1
Optimal transport methods for combinatorial optimization over two random point sets	1
Functional limit theorems for Hawkes processes	1
A multivariate extension of the Erdős–Taylor theorem	1
Local central limit theorem for gradient field models	1