Annals of Probability

Papers
(The median citation count of Annals of Probability is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-05-01 to 2025-05-01.)
ArticleCitations
Thermodynamic and scaling limits of the non-Gaussian membrane model44
Isomorphisms of Poisson systems over locally compact groups29
The critical density for activated random walks is always less than 127
Normal fluctuation in quantum ergodicity for Wigner matrices24
Linear cover time is exponentially unlikely23
Moment estimates for some renormalized parabolic Anderson models20
An elliptic Harnack inequality for difference equations with random balanced coefficients19
Spectral gap and curvature of monotone Markov chains18
Brownian bees in the infinite swarm limit18
Tracy-Widom limit for free sum of random matrices15
Macroscopic loops in the loop O(n) model via the XOR trick14
A limit law for the most favorite point of simplerandom walk on a regular tree14
Absence of backward infinite paths for first-passage percolation in arbitrary dimension13
On the tightness of the maximum of branching Brownian motion in random environment13
A determinantal point process approach to scaling and local limits of random Young tableaux13
Erratum: “Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥3”13
Internal DLA on mated-CRT maps12
Monotonicity for continuous-time random walks11
Poisson statistics and localization at the spectral edge of sparse Erdős–Rényi graphs10
Concentration inequalities for log-concave distributions with applications to random surface fluctuations10
Convergence of the random Abelian sandpile10
Multisource invasion percolation on the complete graph10
The stationary horizon and semi-infinite geodesics in the directed landscape10
The phase transition for planar Gaussian percolation models without FKG10
Extremal distance and conformal radius of a CLE4 loop10
Improved log-concavity for rotationally invariant measures of symmetric convex sets9
Exponential mixing for random dynamical systems and an example of Pierrehumbert9
The Dirichlet–Ferguson diffusion on the space of probability measures over a closed Riemannian manifold9
Expansion in supercritical random subgraphs of the hypercube and its consequences8
Mixing times for the TASEP in the maximal current phase8
A large deviation inequality for the rank of a random matrix8
A stochastic differential equation for local times of super-Brownian motion8
Scaling and local limits of Baxter permutations and bipolar orientations through coalescent-walk processes8
A Smoluchowski–Kramers approximation for an infinite dimensional system with state-dependent damping8
Shannon’s theorem for locally compact groups7
Domino tilings of the Aztec diamond with doubly periodic weightings7
On multiple SLE for the FK–Ising model7
Integration by parts and the KPZ two-point function7
On the radius of Gaussian free field excursion clusters7
A geometric representation of fragmentation processes on stable trees7
Particle density in diffusion-limited annihilating systems7
On strong solutions of Itô’s equations with Dσ and b in Morrey classes containing Ld7
The two-dimensional continuum random field Ising model7
On the rightmost eigenvalue of non-Hermitian random matrices7
On tail triviality of negatively dependent stochastic processes6
Symmetries of stochastic colored vertex models6
Geodesic stars in random geometry6
Age evolution in the mean field forest fire model via multitype branching processes6
The Free Uniform Spanning Forest is disconnected in some virtually free groups, depending on the generator set6
Parking on Cayley trees and frozen Erdős–Rényi6
Universality for critical KCM: Finite number of stable directions6
Color-position symmetry in interacting particle systems6
The Discrete Gaussian model, I. Renormalisation group flow at high temperature5
On the (non)stationary density of fractional-driven stochastic differential equations5
Lower tails via relative entropy5
The discrete Gaussian model, II. Infinite-volume scaling limit at high temperature5
Frozen percolation on the binary tree is nonendogenous5
The height of Mallows trees5
Stochastic homogenization with space-time ergodic divergence-free drift5
Monotone subsequences in locally uniform random permutations5
Loewner evolution driven by complex Brownian motion5
Limit theorems for the volumes of small codimensional random sections of ℓpn-balls5
Dynamical loop equation5
Local limits of bipartite maps with prescribed face degrees in high genus5
On stochastic equations with drift in Ld5
Precise local estimates for differential equations driven by fractional Brownian motion: Hypoelliptic case4
The delocalized phase of the Anderson Hamiltonian in 1-D4
Free energy of a diluted spin glass model with quadratic Hamiltonian4
Hidden invariance of last passage percolation and directed polymers4
Asymptotic expansions for a class of Fredholm Pfaffians and interacting particle systems4
Isoperimetric inequalities in the Brownian plane4
Condensation, boundary conditions, and effects of slow sites in zero-range systems4
Metastable behavior of weakly mixing Markov chains: The case of reversible, critical zero-range processes4
Two-sided heat kernel estimates for Schrödinger operators with unbounded potentials4
Scaling limit of the heavy tailed ballistic deposition model with p-sticking4
Yaglom limit for critical nonlocal branching Markov processes3
Number-rigidity and β-circular Riesz gas3
Geometric and o-minimal Littlewood–Offord problems3
Periodic homogenization of nonsymmetric Lévy-type processes3
On inhomogeneous polynuclear growth3
Balanced excited random walk in two dimensions3
Sudakov–Fernique post-AMP, and a new proof of the local convexity of the TAP free energy3
Quantitative homogenization of interacting particle systems3
McKean–Vlasov optimal control: The dynamic programming principle3
Emergence of extended states at zero in the spectrum of sparse random graphs3
Cutoff profile of the Metropolis biased card shuffling3
Limit theorems for additive functionals of the fractional Brownian motion3
Cutoff for random lifts of weighted graphs3
Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥33
Simple conformal loop ensembles on Liouville quantum gravity3
Concurrent Donsker–Varadhan and hydrodynamical large deviations3
Second errata to “Distance covariance in metric spaces”3
Optimal regularity in time and space for stochastic porous medium equations2
Path-by-path regularisation through multiplicative noise in rough, Young, and ordinary differential equations2
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity2
Regularized modified log-Sobolev inequalities and comparison of Markov chains2
Rough semimartingales and p-variation estimates for martingale transforms2
The spine of the Fleming–Viot process driven by Brownian motion2
Recurrence of the uniform infinite half-plane map via duality of resistances2
Stationary distributions for the voter model in d≥3 are factors of IID2
Berry–Esseen type bounds for the left random walk on GLd(R) under polynomial moment conditions2
Sharp concentration for the largest and smallest fragment in a k-regular self-similar fragmentation2
Almost-sure exponential mixing of passive scalars by the stochastic Navier–Stokes equations2
Limits of sparse configuration models and beyond: Graphexes and MultiGraphexes2
Surface transition in the collapsed phase of a self-interacting walk adsorbed along a hard wall2
The contact process on dynamic regular graphs: Subcritical phase and monotonicity2
Spectral central limit theorem for additive functionals of isotropic and stationary Gaussian fields2
The disordered lattice free field pinning model approaching criticality2
External diffusion-limited aggregation on a spanning-tree-weighted random planar map2
Convergence in law for complex Gaussian multiplicative chaos in phase III2
KPZ-type fluctuation exponents for interacting diffusions in equilibrium2
Fractional diffusion limit for a kinetic Fokker–Planck equation with diffusive boundary conditions in the half-line2
Bulk properties of the Airy line ensemble1
Random trees have height O(n)1
Small ball probabilities and a support theorem for the stochastic heat equation1
Mean field behavior during the Big Bang regime for coalescing random walks1
Universality of approximate message passing with semirandom matrices1
Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding1
To fixate or not to fixate in two-type annihilating branching random walks1
TAP approach for multispecies spherical spin glasses II: The free energy of the pure models1
The number of ends in the uniform spanning tree for recurrent unimodular random graphs1
High-dimensional near-critical percolation and the torus plateau1
On strong solutions of Itô’s equations with σ∈Wd1 and b∈Ld1
Scaling limits of the three-dimensional uniform spanning tree and associated random walk1
A forward-backward SDE from the 2D nonlinear stochastic heat equation1
Singular kinetic equations and applications1
Brownian motion with asymptotically normal reflection in unbounded domains: From transience to stability1
Global information from local observations of the noisy voter model on a graph1
Central limit theorem for Rényi divergence of infinite order1
Convergence and nonconvergence of scaled self-interacting random walks to Brownian motion perturbed at extrema1
The stable graph: The metric space scaling limit of a critical random graph with i.i.d. power-law degrees1
Chase-escape with death on trees1
Lyapunov exponents and synchronisation by noise for systems of SPDEs1
Unicellular maps vs. hyperbolic surfaces in large genus: Simple closed curves1
Fluctuations of partition functions of directed polymers in weak disorder beyond the L2-phase1
Delta-Bose gas from the viewpoint of the two-dimensional stochastic heat equation1
Stability of Schrödinger potentials and convergence of Sinkhorn’s algorithm1
Scaling limit of the Fleming–Viot MultiColor process1
Logarithmic heat kernel estimates without curvature restrictions1
Most transient random walks have infinitely many cut times1
Essential enhancements in Abelian networks: Continuity and uniform strict monotonicity1
Environment seen from infinite geodesics in Liouville Quantum Gravity1
An invariance principle for the 1D KPZ equation1
Bulk universality and quantum unique ergodicity for random band matrices in high dimensions1
Sharp threshold for the Ising perceptron model1
Cutoff for the asymmetric riffle shuffle1
A branching particle system as a model of semipushed fronts1
Regularization by noise for rough differential equations driven by Gaussian rough paths1
The central limit theorem on nilpotent Lie groups1
Poisson–Voronoi percolation in the hyperbolic plane with small intensities1
Perturbations of parabolic equations and diffusion processes with degeneration: Boundary problems, metastability, and homogenization1
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