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 2021-04-01 to 2025-04-01.)
ArticleCitations
Isoperimetric inequalities in the Brownian plane43
Rough semimartingales and p-variation estimates for martingale transforms30
Integration by parts and the KPZ two-point function29
Universality of approximate message passing with semirandom matrices24
A fluctuation result for the displacement in the optimal matching problem22
External diffusion-limited aggregation on a spanning-tree-weighted random planar map16
Linear cover time is exponentially unlikely16
Parking on Cayley trees and frozen Erdős–Rényi16
Persistence of Gaussian stationary processes: A spectral perspective16
Isomorphisms of Poisson systems over locally compact groups15
Mean field behavior during the Big Bang regime for coalescing random walks15
Regularized modified log-Sobolev inequalities and comparison of Markov chains14
Environment seen from infinite geodesics in Liouville Quantum Gravity13
Cutoff for random lifts of weighted graphs13
Sharp concentration for the largest and smallest fragment in a k-regular self-similar fragmentation13
Thermodynamic and scaling limits of the non-Gaussian membrane model11
Chase-escape with death on trees11
Free energy of a diluted spin glass model with quadratic Hamiltonian10
The Markov property of local times of Brownian motion indexed by the Brownian tree10
On perfectly friendly bisections of random graphs9
Particle density in diffusion-limited annihilating systems9
An invariance principle for the 1D KPZ equation9
On multiple SLE for the FK–Ising model9
On the rightmost eigenvalue of non-Hermitian random matrices8
The critical 2d stochastic heat flow is not a Gaussian multiplicative chaos8
The contact process on random hyperbolic graphs: Metastability and critical exponents8
Two-sided heat kernel estimates for Schrödinger operators with unbounded potentials8
On inhomogeneous polynuclear growth8
Bulk universality and quantum unique ergodicity for random band matrices in high dimensions8
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity8
Balanced excited random walk in two dimensions7
The stable graph: The metric space scaling limit of a critical random graph with i.i.d. power-law degrees7
The two-dimensional continuum random field Ising model7
A geometric representation of fragmentation processes on stable trees7
Additive functionals as rough paths7
The disordered lattice free field pinning model approaching criticality7
Spectral central limit theorem for additive functionals of isotropic and stationary Gaussian fields7
The critical density for activated random walks is always less than 17
Capacity of the range of random walk: The law of the iterated logarithm7
Diffusion approximation for fully coupled stochastic differential equations6
Approximation method to metastability: An application to nonreversible, two-dimensional Ising and Potts models without external fields6
Random walk on random planar maps: Spectral dimension, resistance and displacement6
Normal fluctuation in quantum ergodicity for Wigner matrices6
The time constant for Bernoulli percolation is Lipschitz continuous strictly above pc6
Branching random walks on relatively hyperbolic groups6
Almost-sure exponential mixing of passive scalars by the stochastic Navier–Stokes equations6
Sudakov–Fernique post-AMP, and a new proof of the local convexity of the TAP free energy6
On the tightness of the maximum of branching Brownian motion in random environment6
Emergence of extended states at zero in the spectrum of sparse random graphs6
Central limit theorem for Rényi divergence of infinite order6
Macroscopic loops in the loop O(n) model via the XOR trick5
Erratum to “Characterization of positively correlated squared Gaussian processes”5
Berry–Esseen type bounds for the left random walk on GLd(R) under polynomial moment conditions5
Scaling limit of an adaptive contact process5
Moment estimates for some renormalized parabolic Anderson models5
A shape theorem for the orthant model5
Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier–Stokes equations: Existence and nonuniqueness5
Local and global geometry of the 2D Ising interface in critical prewetting5
Law of iterated logarithms and fractal properties of the KPZ equation5
Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions5
Cutoff profile of the Metropolis biased card shuffling5
Universality for critical KCM: Finite number of stable directions5
Second errata to “Distance covariance in metric spaces”5
Symmetries of stochastic colored vertex models5
On tail triviality of negatively dependent stochastic processes5
An elliptic Harnack inequality for difference equations with random balanced coefficients4
Brownian bees in the infinite swarm limit4
Strict monotonicity for first passage percolation on graphs of polynomial growth and quasi-trees4
Spectral gap and curvature of monotone Markov chains4
Convergence in law for complex Gaussian multiplicative chaos in phase III4
Age evolution in the mean field forest fire model via multitype branching processes4
Uniform spanning tree in topological polygons, partition functions for SLE(8), and correlations in c=−2 logarithmic CFT4
More limiting distributions for eigenvalues of Wigner matrices4
Random partitions under the Plancherel–Hurwitz measure, high-genus Hurwitz numbers and maps4
Tracy-Widom limit for free sum of random matrices4
Yaglom limit for critical nonlocal branching Markov processes4
Brownian motion with asymptotically normal reflection in unbounded domains: From transience to stability4
Polarity of almost all points for systems of nonlinear stochastic heat equations in the critical dimension3
Towards optimal spectral gaps in large genus3
Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥33
Erratum: “Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥3”3
Stein’s method for conditional central limit theorem3
A forward-backward SDE from the 2D nonlinear stochastic heat equation3
Bulk properties of the Airy line ensemble3
Absence of backward infinite paths for first-passage percolation in arbitrary dimension3
Unicellular maps vs. hyperbolic surfaces in large genus: Simple closed curves3
Logarithmic heat kernel estimates without curvature restrictions3
Domains of attraction of invariant distributions of the infinite Atlas model3
Monotone subsequences in locally uniform random permutations3
A limit law for the most favorite point of simplerandom walk on a regular tree3
Locality of random digraphs on expanders3
Local limits of bipartite maps with prescribed face degrees in high genus3
Hidden symmetries and limit laws in the extreme order statistics of the Laplace random walk2
Singular kinetic equations and applications2
Discrete self-similar and ergodic Markov chains2
Essential enhancements in Abelian networks: Continuity and uniform strict monotonicity2
A landscape of peaks: The intermittency islands of the stochastic heat equation with Lévy noise2
Critical prewetting in the 2d Ising model2
Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition2
Large N limit of the O(N) linear sigma model via stochastic quantization2
Characterization of Brownian Gibbsian line ensembles2
An optimal regularity result for Kolmogorov equations and weak uniqueness for some critical SPDEs2
The smallest singular value of inhomogeneous square random matrices2
A phase transition for repeated averages2
The Free Uniform Spanning Forest is disconnected in some virtually free groups, depending on the generator set2
Number-rigidity and β-circular Riesz gas2
Quantitative homogenization of interacting particle systems2
Scaling limit of the Fleming–Viot MultiColor process2
The annealed spectral sample of Voronoi percolation2
On words of non-Hermitian random matrices2
Simple conformal loop ensembles on Liouville quantum gravity2
Frozen percolation on the binary tree is nonendogenous2
Geodesic stars in random geometry2
Perturbations of parabolic equations and diffusion processes with degeneration: Boundary problems, metastability, and homogenization2
logt-Superdiffusivity for a Brownian particle in the curl of the 2D GFF2
Lower tails via relative entropy2
Percolation of strongly correlated Gaussian fields II. Sharpness of the phase transition2
Conformal growth rates and spectral geometry on distributional limits of graphs2
Large deviation expansions for the coefficients of random walks on the general linear group2
Limit theorems for additive functionals of the fractional Brownian motion2
Stable shredded spheres and causal random maps with large faces1
Slicing ℓp-balls reloaded: Stability, planar sections in ℓ11
Biased random walk on dynamical percolation1
Decay of convolved densities via Laplace transform1
The extremal point process of branching Brownian motion in Rd1
Random trees have height O(n)1
Poisson–Voronoi percolation in the hyperbolic plane with small intensities1
Brownian loops and the central charge of a Liouville random surface1
Anti-concentration for subgraph counts in random graphs1
TAP approach for multispecies spherical spin glasses II: The free energy of the pure models1
Universality of the geodesic tree in last passage percolation1
Loewner evolution driven by complex Brownian motion1
Stochastic homogenization with space-time ergodic divergence-free drift1
Atypical exit events near a repelling equilibrium1
Diffusive scaling limit of the Busemann process in last passage percolation1
The number of ends in the uniform spanning tree for recurrent unimodular random graphs1
Poisson statistics and localization at the spectral edge of sparse Erdős–Rényi graphs1
The suprema of infinitely divisible processes1
Correlation decay for finite lattice gauge theories at weak coupling1
On strong solutions of Itô’s equations with σ∈Wd1 and b∈Ld1
Geometric and o-minimal Littlewood–Offord problems1
Color-position symmetry in interacting particle systems1
On stochastic equations with drift in Ld1
Convergence of the random Abelian sandpile1
Multisource invasion percolation on the complete graph1
Long-time derivation at equilibrium of the fluctuating Boltzmann equation1
Concentration inequalities for log-concave distributions with applications to random surface fluctuations1
Forests, cumulants, martingales1
Monotonicity for continuous-time random walks1
On the real Davies’ conjecture1
Stability of Schrödinger potentials and convergence of Sinkhorn’s algorithm1
Internal DLA on mated-CRT maps1
Extremal eigenvalues of critical Erdős–Rényi graphs1
Regularization by noise for rough differential equations driven by Gaussian rough paths1
A branching particle system as a model of semipushed fronts1
Stationary measures for the log-gamma polymer and KPZ equation in half-space1
Erratum to “An optimal regularity result for Kolmogorov equations and weak uniqueness for some critical SPDEs”1
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