Annals of Probability

Article	Citations
From nonlinear Fokker–Planck equations to solutions of distribution dependent SDE	55
Averaging dynamics driven by fractional Brownian motion	40
The two-dimensional KPZ equation in the entire subcritical regime	33
Confluence of geodesics in Liouville quantum gravity for $\gamma \in (0,2)$	22
The overlap gap property and approximate message passing algorithms for $p$-spin models	22
Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity	21
Optimization of mean-field spin glasses	21
Diffusion approximation for fully coupled stochastic differential equations	20
Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding	18
Nonlinear large deviation bounds with applications to Wigner matrices and sparse Erdős–Rényi graphs	17
Algorithmic thresholds for tensor PCA	17
Mean field systems on networks, with singular interaction through hitting times	17
On stochastic equations with drift in Ld	15
Large deviations for the largest eigenvalue of Rademacher matrices	14
The Riemann zeta function and Gaussian multiplicative chaos: Statistics on the critical line	14
Color-position symmetry in interacting particle systems	14
Martingale Benamou–Brenier: A probabilistic perspective	13
The smallest singular value of inhomogeneous square random matrices	13
Locality of the critical probability for transitive graphs of exponential growth	13
Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition	13
On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates	12
Local laws and rigidity for Coulomb gases at any temperature	12
Bulk properties of the Airy line ensemble	12
Planar Brownian motion and Gaussian multiplicative chaos	11
Finitary codings for spatial mixing Markov random fields	11

Modified log-Sobolev inequalities for strongly log-concave distributions	11
Fractal geometry of Airy$_{2}$ processes coupled via the Airy sheet	11
McKean–Vlasov optimal control: The dynamic programming principle	11
The CLT in high dimensions: Quantitative bounds via martingale embedding	11
Eigenvector statistics of Lévy matrices	10
Weak existence and uniqueness for McKean–Vlasov SDEs with common noise	10
2D anisotropic KPZ at stationarity: Scaling, tightness and nontriviality	9
Normal fluctuation in quantum ergodicity for Wigner matrices	9
A covariance formula for topological events of smooth Gaussian fields	9
Extremal eigenvalues of critical Erdős–Rényi graphs	9
Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier–Stokes equations: Existence and nonuniqueness	9
On the radius of Gaussian free field excursion clusters	9
Symmetries of stochastic colored vertex models	9
On the uniqueness of global multiple SLEs	9
Inverting the Markovian projection, with an application to local stochastic volatility models	9
Diffusions on a space of interval partitions: Poisson–Dirichlet stationary distributions	8
Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions	8
Entrance and exit at infinity for stable jump diffusions	8
Almost-sure exponential mixing of passive scalars by the stochastic Navier–Stokes equations	8
Random walks on dynamical random environments with nonuniform mixing	8
Capacity of the range in dimension $5$	8
Random walk on random planar maps: Spectral dimension, resistance and displacement	8
Universality of the geodesic tree in last passage percolation	7
Characterization of Brownian Gibbsian line ensembles	7
Percolation for level-sets of Gaussian free fields on metric graphs	7
KPZ equation correlations in time	7
Critical prewetting in the 2d Ising model	7
Limit profile for random transpositions	7
Finitely dependent processes are finitary	7
Domino tilings of the Aztec diamond with doubly periodic weightings	7
TAP free energy, spin glasses and variational inference	7
Elliptic stochastic quantization	7
Conformal growth rates and spectral geometry on distributional limits of graphs	6
Growth-fragmentation processes in Brownian motion indexed by the Brownian tree	6
Moment estimates for some renormalized parabolic Anderson models	6
Mixing time of the adjacent walk on the simplex	6
A Smoluchowski–Kramers approximation for an infinite dimensional system with state-dependent damping	6
Random matrix products: Universality and least singular values	6
Scaling limit of dynamical percolation on critical Erdős–Rényi random graphs	6
Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥3	6
Fractional diffusion limit for a kinetic equation with an interface	6
Survival and extinction of epidemics on random graphs with general degree	6
Operator limit of the circular beta ensemble	6
Points of infinite multiplicity of planar Brownian motion: Measures and local times	6
Local limits of bipartite maps with prescribed face degrees in high genus	6
The Aldous chain on cladograms in the diffusion limit	6
Well-posedness, stability and sensitivities for stochastic delay equations: A generalized coupling approach	6
Scaling limits of the three-dimensional uniform spanning tree and associated random walk	6
The Dirichlet–Ferguson diffusion on the space of probability measures over a closed Riemannian manifold	6
Moments of the Riemann zeta function on short intervals of the critical line	5

The 2d-directed spanning forest converges to the Brownian web	5
Quantitative homogenization of the parabolic and elliptic Green’s functions on percolation clusters	5
Large N limit of the O(N) linear sigma model via stochastic quantization	5
Solution of the Kolmogorov equation for TASEP	5
Scaling and local limits of Baxter permutations and bipolar orientations through coalescent-walk processes	5
Multivariate normal approximation for traces of random unitary matrices	5
The exclusion process mixes (almost) faster than independent particles	5
logt-Superdiffusivity for a Brownian particle in the curl of the 2D GFF	5
Universality for critical KCM: Finite number of stable directions	5
Hidden invariance of last passage percolation and directed polymers	5
The Derrida–Retaux conjecture on recursive models	5
Slicing ℓp-balls reloaded: Stability, planar sections in ℓ1	5
On strong solutions of Itô’s equations with σ∈Wd1 and b∈Ld	5
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity	5
Sharp threshold for the Ising perceptron model	5
Localization in Gaussian disordered systems at low temperature	4
High-dimensional near-critical percolation and the torus plateau	4
Stability of Schrödinger potentials and convergence of Sinkhorn’s algorithm	4
A phase transition for repeated averages	4
Freeness over the diagonal for large random matrices	4
The time constant for Bernoulli percolation is Lipschitz continuous strictly above pc	4
Universality of approximate message passing with semirandom matrices	4
On the derivative martingale in a branching random walk	4
Connectivity properties of the adjacency graph of $\mathrm{SLE}_{\kappa}$ bubbles for $\kappa\in(4,8)$	4
Multipoint distribution of TASEP	4
Propagation of chaos for mean field rough differential equations	4
A comparison principle for random walk on dynamical percolation	4
A generalisation of the honeycomb dimer model to higher dimensions	4
A geometric representation of fragmentation processes on stable trees	4
Additive functionals as rough paths	4
Global well posedness of the two-dimensional stochastic nonlinear wave equation on an unbounded domain	4
Normal approximation for weighted sums under a second-order correlation condition	4
Bounding the number of self-avoiding walks: Hammersley–Welsh with polygon insertion	4
The almost-sure asymptotic behavior of the solution to the stochastic heat equation with Lévy noise	4
Anomalous diffusion for multi-dimensional critical kinetic Fokker–Planck equations	4
Local and global geometry of the 2D Ising interface in critical prewetting	4
Persistence of Gaussian stationary processes: A spectral perspective	4
Entropic repulsion for the occupation-time field of random interlacements conditioned on disconnection	3
Maximum of the Ginzburg–Landau fields	3
Periodic homogenization of nonsymmetric Lévy-type processes	3
Deterministic walks in random environment	3
Spectral edge in sparse random graphs: Upper and lower tail large deviations	3
Tightness and tails of the maximum in 3D Ising interfaces	3
A solution to the Monge transport problem for Brownian martingales	3
Rates of convergence to equilibrium for potlatch and smoothing processes	3
Universality of cutoff for graphs with an added random matching	3
Symmetric exclusion as a random environment: Invariance principle	3
Simple conformal loop ensembles on Liouville quantum gravity	3
On multiple SLE for the FK–Ising model	3
A rough super-Brownian motion	3
Gravitational allocation for uniform points on the sphere	3
On the absolute continuity of random nodal volumes	3
The height of Mallows trees	3
On the real Davies’ conjecture	3
On words of non-Hermitian random matrices	3
A fluctuation result for the displacement in the optimal matching problem	3
Hidden symmetries and limit laws in the extreme order statistics of the Laplace random walk	2
Small gaps of circular β-ensemble	2
Domains of attraction of invariant distributions of the infinite Atlas model	2
Ergodic Poisson splittings	2
Mixing times for the TASEP in the maximal current phase	2
Integration by parts and the KPZ two-point function	2
Shannon’s theorem for locally compact groups	2
The delocalized phase of the Anderson Hamiltonian in 1-D	2
Identification of the Polaron measure in strong coupling and the Pekar variational formula	2
Stationary measures for the log-gamma polymer and KPZ equation in half-space	2
TAP approach for multispecies spherical spin glasses II: The free energy of the pure models	2
Geodesic stars in random geometry	2
Anisotropic bootstrap percolation in three dimensions	2
Yaglom limit for critical nonlocal branching Markov processes	2
On the topological boundary of the range of super-Brownian motion	2
A shape theorem for the orthant model	2
A nonamenable “factor” of a Euclidean space	2
On inhomogeneous polynuclear growth	2
Metastability and exit problems for systems of stochastic reaction–diffusion equations	2
Secular coefficients and the holomorphic multiplicative chaos	2
Comparison theorem for some extremal eigenvalue statistics	2
Convergence of the random Abelian sandpile	2
Frozen percolation on the binary tree is nonendogenous	2
The annealed spectral sample of Voronoi percolation	2

Cut-off for sandpiles on tiling graphs	2
Brownian bees in the infinite swarm limit	2
Polarity of almost all points for systems of nonlinear stochastic heat equations in the critical dimension	2
Precise local estimates for differential equations driven by fractional Brownian motion: Hypoelliptic case	2
Chase-escape with death on trees	2
Limits of sparse configuration models and beyond: Graphexes and MultiGraphexes	2
Three-halves variation of geodesics in the directed landscape	2
Asymptotic expansions for a class of Fredholm Pfaffians and interacting particle systems	2
Small ball probabilities and a support theorem for the stochastic heat equation	2
Flows, coalescence and noise. A correction	2
An optimal regularity result for Kolmogorov equations and weak uniqueness for some critical SPDEs	2