Annals of Probability

Papers
(The median citation count of Annals of Probability is 2. 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 2020-11-01 to 2024-11-01.)
ArticleCitations
Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity33
Diffusion approximation for fully coupled stochastic differential equations25
Optimization of mean-field spin glasses25
The overlap gap property and approximate message passing algorithms for $p$-spin models25
Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding22
McKean–Vlasov optimal control: The dynamic programming principle17
Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition16
On the radius of Gaussian free field excursion clusters16
Bulk properties of the Airy line ensemble16
On stochastic equations with drift in Ld16
Fractal geometry of Airy$_{2}$ processes coupled via the Airy sheet15
Color-position symmetry in interacting particle systems15
The smallest singular value of inhomogeneous square random matrices15
Local laws and rigidity for Coulomb gases at any temperature14
The Riemann zeta function and Gaussian multiplicative chaos: Statistics on the critical line14
Modified log-Sobolev inequalities for strongly log-concave distributions13
Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier–Stokes equations: Existence and nonuniqueness13
On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates12
Normal fluctuation in quantum ergodicity for Wigner matrices12
A covariance formula for topological events of smooth Gaussian fields11
Symmetries of stochastic colored vertex models11
Eigenvector statistics of Lévy matrices11
2D anisotropic KPZ at stationarity: Scaling, tightness and nontriviality11
Extremal eigenvalues of critical Erdős–Rényi graphs11
Weak existence and uniqueness for McKean–Vlasov SDEs with common noise11
Universality of the geodesic tree in last passage percolation10
Almost-sure exponential mixing of passive scalars by the stochastic Navier–Stokes equations10
Random walk on random planar maps: Spectral dimension, resistance and displacement10
Capacity of the range in dimension $5$9
Characterization of Brownian Gibbsian line ensembles9
On strong solutions of Itô’s equations with σ∈Wd1 and b∈Ld9
Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions9
Survival and extinction of epidemics on random graphs with general degree9
TAP free energy, spin glasses and variational inference9
On the uniqueness of global multiple SLEs9
Three-halves variation of geodesics in the directed landscape8
A Smoluchowski–Kramers approximation for an infinite dimensional system with state-dependent damping8
Critical prewetting in the 2d Ising model8
Scaling limits of the three-dimensional uniform spanning tree and associated random walk8
Diffusions on a space of interval partitions: Poisson–Dirichlet stationary distributions8
Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥38
KPZ equation correlations in time8
Large N limit of the O(N) linear sigma model via stochastic quantization8
A phase transition for repeated averages7
Quantitative homogenization of the parabolic and elliptic Green’s functions on percolation clusters7
Multipoint distribution of TASEP7
Conformal growth rates and spectral geometry on distributional limits of graphs7
Moment estimates for some renormalized parabolic Anderson models7
Multivariate normal approximation for traces of random unitary matrices7
The Derrida–Retaux conjecture on recursive models7
Scaling limit of dynamical percolation on critical Erdős–Rényi random graphs7
Universality of approximate message passing with semirandom matrices7
Domino tilings of the Aztec diamond with doubly periodic weightings7
Maximum of the Ginzburg–Landau fields6
The 2d-directed spanning forest converges to the Brownian web6
The exclusion process mixes (almost) faster than independent particles6
logt-Superdiffusivity for a Brownian particle in the curl of the 2D GFF6
Well-posedness, stability and sensitivities for stochastic delay equations: A generalized coupling approach6
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity6
Universality of cutoff for exclusion with reservoirs6
On the real Davies’ conjecture6
Stationary measures for the log-gamma polymer and KPZ equation in half-space6
Local limits of bipartite maps with prescribed face degrees in high genus6
Freeness over the diagonal for large random matrices6
The Dirichlet–Ferguson diffusion on the space of probability measures over a closed Riemannian manifold6
Spectral edge in sparse random graphs: Upper and lower tail large deviations6
Slicing ℓp-balls reloaded: Stability, planar sections in ℓ16
A comparison principle for random walk on dynamical percolation6
Additive functionals as rough paths6
Mixing times for the TASEP in the maximal current phase5
TAP approach for multispecies spherical spin glasses II: The free energy of the pure models5
Domains of attraction of invariant distributions of the infinite Atlas model5
The time constant for Bernoulli percolation is Lipschitz continuous strictly above pc5
Hidden invariance of last passage percolation and directed polymers5
Scaling and local limits of Baxter permutations and bipolar orientations through coalescent-walk processes5
High-dimensional near-critical percolation and the torus plateau5
Stability of Schrödinger potentials and convergence of Sinkhorn’s algorithm5
Universality for critical KCM: Finite number of stable directions5
On the rightmost eigenvalue of non-Hermitian random matrices5
Localization in Gaussian disordered systems at low temperature5
Moments of the Riemann zeta function on short intervals of the critical line5
The height of Mallows trees5
Simple conformal loop ensembles on Liouville quantum gravity5
The two-dimensional continuum random field Ising model5
The stable graph: The metric space scaling limit of a critical random graph with i.i.d. power-law degrees5
Rates of convergence to equilibrium for potlatch and smoothing processes5
Sharp threshold for the Ising perceptron model5
On the derivative martingale in a branching random walk4
Periodic homogenization of nonsymmetric Lévy-type processes4
On words of non-Hermitian random matrices4
Local and global geometry of the 2D Ising interface in critical prewetting4
A solution to the Monge transport problem for Brownian martingales4
Small ball probabilities and a support theorem for the stochastic heat equation4
The phase transition for planar Gaussian percolation models without FKG4
Yaglom limit for critical nonlocal branching Markov processes4
The critical 2d stochastic heat flow is not a Gaussian multiplicative chaos4
A fluctuation result for the displacement in the optimal matching problem4
Persistence of Gaussian stationary processes: A spectral perspective4
Global well posedness of the two-dimensional stochastic nonlinear wave equation on an unbounded domain4
Universality of cutoff for graphs with an added random matching4
Propagation of chaos for mean field rough differential equations4
A generalisation of the honeycomb dimer model to higher dimensions4
A geometric representation of fragmentation processes on stable trees4
Limits of sparse configuration models and beyond: Graphexes and MultiGraphexes3
Symmetric exclusion as a random environment: Invariance principle3
Towards optimal spectral gaps in large genus3
Law of iterated logarithms and fractal properties of the KPZ equation3
On multiple SLE for the FK–Ising model3
Shannon’s theorem for locally compact groups3
To fixate or not to fixate in two-type annihilating branching random walks3
Metastable behavior of weakly mixing Markov chains: The case of reversible, critical zero-range processes3
Geodesic stars in random geometry3
A forward-backward SDE from the 2D nonlinear stochastic heat equation3
Tightness and tails of the maximum in 3D Ising interfaces3
A rough super-Brownian motion3
KPZ-type fluctuation exponents for interacting diffusions in equilibrium3
Gravitational allocation for uniform points on the sphere3
Secular coefficients and the holomorphic multiplicative chaos3
Hidden symmetries and limit laws in the extreme order statistics of the Laplace random walk3
More limiting distributions for eigenvalues of Wigner matrices3
On inhomogeneous polynuclear growth3
A nonamenable “factor” of a Euclidean space3
Expansion in supercritical random subgraphs of the hypercube and its consequences3
The stationary horizon and semi-infinite geodesics in the directed landscape2
Asymptotic expansions for a class of Fredholm Pfaffians and interacting particle systems2
Exponential mixing for random dynamical systems and an example of Pierrehumbert2
Concentration inequalities for log-concave distributions with applications to random surface fluctuations2
An optimal regularity result for Kolmogorov equations and weak uniqueness for some critical SPDEs2
Lower tails via relative entropy2
Convergence in law for complex Gaussian multiplicative chaos in phase III2
Cut-off for sandpiles on tiling graphs2
Chase-escape with death on trees2
Metastability and exit problems for systems of stochastic reaction–diffusion equations2
The delocalized phase of the Anderson Hamiltonian in 1-D2
Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles2
Scaling limit of the subdiffusive random walk on a Galton–Watson tree in random environment2
Mutual information for the sparse stochastic block model2
Monotone subsequences in locally uniform random permutations2
The annealed spectral sample of Voronoi percolation2
Scaling limit of the Fleming–Viot MultiColor process2
Small gaps of circular β-ensemble2
A shape theorem for the orthant model2
Integration by parts and the KPZ two-point function2
Scaling limit of the heavy tailed ballistic deposition model with p-sticking2
Maximum and coupling of the sine-Gordon field2
Comparison theorem for some extremal eigenvalue statistics2
Improved log-concavity for rotationally invariant measures of symmetric convex sets2
Convergence of the random Abelian sandpile2
Frozen percolation on the binary tree is nonendogenous2
Percolation of strongly correlated Gaussian fields II. Sharpness of the phase transition2
Polarity of almost all points for systems of nonlinear stochastic heat equations in the critical dimension2
Brownian bees in the infinite swarm limit2
The contact process on random hyperbolic graphs: Metastability and critical exponents2
Precise local estimates for differential equations driven by fractional Brownian motion: Hypoelliptic case2
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