Probability Theory and Related Fields

Article	Citations
High mode transport noise improves vorticity blow-up control in 3D Navier–Stokes equations	40
Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection–diffusion by stochastic Navier–Stokes	26
Entropic optimal transport: convergence of potentials	19
Liouville quantum gravity and the Brownian map III: the conformal structure is determined	19
Approximation of SDEs: a stochastic sewing approach	18
Markov processes related to the stationary measure for the open KPZ equation	17
A spectral condition for spectral gap: fast mixing in high-temperature Ising models	15
Fluctuations of extreme eigenvalues of sparse Erdős–Rényi graphs	14
Local stationarity in exponential last-passage percolation	14
Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights	13
Persistence of hubs in growing random networks	13
Nonparametric estimation for interacting particle systems: McKean–Vlasov models	12
Finite free convolutions of polynomials	12
Power-law bounds for critical long-range percolation below the upper-critical dimension	12
Fermionic eigenvector moment flow	10
Exact matching of random graphs with constant correlation	10
Limits of multiplicative inhomogeneous random graphs and Lévy trees: limit theorems	10
Height function delocalisation on cubic planar graphs	9
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains	9
Does a central limit theorem hold for the k-skeleton of Poisson hyperplanes in hyperbolic space?	9
Cutoff profile of ASEP on a segment	9
Non-reversible metastable diffusions with Gibbs invariant measure I: Eyring–Kramers formula	8
Asymptotic moments of spatial branching processes	8
Cluster capacity functionals and isomorphism theorems for Gaussian free fields	8
The overlap gap property in principal submatrix recovery	8

Quenched invariance principle for a class of random conductance models with long-range jumps	8
Second time scale of the metastability of reversible inclusion processes	8
Convergence of the spectral radius of a random matrix through its characteristic polynomial	7
Sharp transition of the invertibility of the adjacency matrices of sparse random graphs	7
Eigenvector distribution in the critical regime of BBP transition	7
Central limit type theorem and large deviation principle for multi-scale McKean–Vlasov SDEs	7
A new correlation inequality for Ising models with external fields	6
The effect of free boundary conditions on the Ising model in high dimensions	6
Random Euclidean coverage from within	6
Homological connectivity in random Čech complexes	6
Approximation of martingale couplings on the line in the adapted weak topology	6
Limit profiles for reversible Markov chains	6
Interacting diffusions on positive definite matrices	6
Planar random-cluster model: fractal properties of the critical phase	6
KPZ equation from non-simple variations on open ASEP	5
Fluctuations of the log-gamma polymer free energy with general parameters and slopes	5
Exponential decay of transverse correlations for O(N) spin systems and related models	5
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces	5
Gaussian unitary ensemble in random lozenge tilings	5
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise	5
Exceptional points of two-dimensional random walks at multiples of the cover time	5
Measure estimation on manifolds: an optimal transport approach	5
Non-uniformly parabolic equations and applications to the random conductance model	5
A transportation approach to the mean-field approximation	5
Phase transitions for a class of gradient fields	5
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry	5
TASEP and generalizations: method for exact solution	5
Random-field random surfaces	5
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces	5
Quasi-static limit for the asymmetric simple exclusion	5
On planar graphs of uniform polynomial growth	4
Critical Brownian multiplicative chaos	4
Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions	4
The Allen–Cahn equation with generic initial datum	4
On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices	4
Geometry of the minimal spanning tree of a random 3-regular graph	4
Multi-point distribution of discrete time periodic TASEP	4
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree	4
Local law and rigidity for unitary Brownian motion	4
Spine representations for non-compact models of random geometry	4
Sharp uniform-in-time propagation of chaos	4
Minoration via mixed volumes and Cover’s problem for general channels	4
N-sided radial Schramm–Loewner evolution	4
Tests and estimation strategies associated to some loss functions	4
Geodesics and metric ball boundaries in Liouville quantum gravity	4
Strong regularization by Brownian noise propagating through a weak Hörmander structure	4
Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema	4
Singular HJB equations with applications to KPZ on the real line	4
Distribution dependent SDEs driven by additive fractional Brownian motion	4
Growth-fragmentation process embedded in a planar Brownian excursion	4

Planarity and non-separating cycles in uniform high genus quadrangulations	3
The bead process for beta ensembles	3
Global solutions of aggregation equations and other flows with random diffusion	3
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials	3
The multivariate functional de Jong CLT	3
On quasisymmetric embeddings of the Brownian map and continuum trees	3
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization	3
A free boundary characterisation of the Root barrier for Markov processes	3
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative	3
Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks	3
Correction to: Speeding up Markov chains with deterministic jumps	3
Fluctuations of $$\beta $$-Jacobi product processes	3
Regularity of SLE in $$(t,\kappa )$$ and refined GRR estimates	3
The distance exponent for Liouville first passage percolation is positive	3
KMT coupling for random walk bridges	3
Feynman-Kac formula under a finite entropy condition	3
Estimating the probability that a given vector is in the convex hull of a random sample	3
Delocalisation and absolute-value-FKG in the solid-on-solid model	3
Diffusions interacting through a random matrix: universality via stochastic Taylor expansion	3
KPZ equation with a small noise, deep upper tail and limit shape	3
Sharp Poincaré and log-Sobolev inequalities for the switch chain on regular bipartite graphs	3
Universal cutoff for Dyson Ornstein Uhlenbeck process	3
Baxter permuton and Liouville quantum gravity	3
Anchored expansion of Delaunay complexes in real hyperbolic space and stationary point processes	3
Sharp threshold for the FA-2f kinetically constrained model	3
Multi solitary waves to stochastic nonlinear Schrödinger equations	3
Quantitative correlation inequalities via extremal power series	2
On the $$\Phi $$-stability and related conjectures	2
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections	2
Geometric bounds on the fastest mixing Markov chain	2
The local limit of uniform spanning trees	2
On the Wiener chaos expansion of the signature of a Gaussian process	2
Upper bounds on the one-arm exponent for dependent percolation models	2
Convergence of genealogies through spinal decomposition with an application to population genetics	2
Matrix Whittaker processes	2
Entropy-Transport distances between unbalanced metric measure spaces	2
Fast initial conditions for Glauber dynamics	2
A large-deviations principle for all the components in a sparse inhomogeneous random graph	2
Phase transitions for spatially extended pinning	2
Scaling limits of multi-type Markov Branching trees	2
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms	2
Trees with exponential height dependent weight	2
Liouville dynamical percolation	2
Density of imaginary multiplicative chaos via Malliavin calculus	2
Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees	2
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree	2
Scaling limits for planar aggregation with subcritical fluctuations	2
Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise	2
Spread of infections in a heterogeneous moving population	2
Quenched universality for deformed Wigner matrices	2
A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model	2
Quenched local central limit theorem for random walks in a time-dependent balanced random environment	2
There is no stationary cyclically monotone Poisson matching in 2d	2
On the computational tractability of statistical estimation on amenable graphs	2
One-point distribution of the geodesic in directed last passage percolation	2
Hidden diagonal integrability of q-Hahn vertex model and Beta polymer model	2
The two regimes of moderate deviations for the range of a transient walk	2
Poisson limit of bumping routes in the Robinson–Schensted correspondence	2
Malliavin calculus and densities for singular stochastic partial differential equations	2
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve	2
On the pitchfork bifurcation for the Chafee–Infante equation with additive noise	2
A CLT for the characteristic polynomial of random Jacobi matrices, and the G$$\beta $$E	2
Marginal dynamics of interacting diffusions on unimodular Galton–Watson trees	2
Motion by mean curvature in interacting particle systems	1
Propagation of chaos for maxima of particle systems with mean-field drift interaction	1
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets	1
A formula for boundary correlations of the critical Ising model	1
Dynamic polymers: invariant measures and ordering by noise	1
Compactness and fractal dimensions of inhomogeneous continuum random trees	1
Mesoscopic central limit theorem for non-Hermitian random matrices	1
Entropic curvature on graphs along Schrödinger bridges at zero temperature	1
The sustainability probability for the critical Derrida–Retaux model	1
Parking on the infinite binary tree	1
Shotgun assembly threshold for lattice labeling model	1
Isoperimetric profiles and random walks on some groups defined by piecewise actions	1
Spectral gap estimates for mixed p-spin models at high temperature	1
Fully-connected bond percolation on $${\mathbb {Z}}^d$$	1
Sums of GUE matrices and concentration of hives from correlation decay of eigengaps	1
Correction to: Asymptotic moments of spatial branching processes	1
CLT for NESS of a reaction-diffusion model	1

Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups	1
Upper tail of the spectral radius of sparse Erdös–Rényi graphs	1
The band structure of a model of spatial random permutation	1
Mapping TASEP back in time	1
The number of solutions for random regular NAE-SAT	1
Sandwiching dense random regular graphs between binomial random graphs	1
Near-critical 2D percolation with heavy-tailed impurities, forest fires and frozen percolation	1
Reflected BSDEs in non-convex domains	1
Single eigenvalue fluctuations of general Wigner-type matrices	1
Fleming–Viot couples live forever	1
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation	1
The planted matching problem: sharp threshold and infinite-order phase transition	1
Cutoff profiles for quantum Lévy processes and quantum random transpositions	1
Optimal transport methods for combinatorial optimization over two random point sets	1
Explicit formulas for the inverses of Toeplitz matrices, with applications	1
Random walks on $$\textrm{SL}_2({\mathbb {C}})$$: spectral gap and limit theorems	1
Last passage isometries for the directed landscape	1
Stefan problem with surface tension: global existence of physical solutions under radial symmetry	1
A planar Ising model of self-organized criticality	1
Correction to: Quenched large deviation principle for words in a letter sequence	1
On the tail of the branching random walk local time	1
Minimal matchings of point processes	1
Dirichlet forms on unconstrained Sierpinski carpets	1
Characterizing models in regularity structures: a quasilinear case	1
Three-point correlation functions in the $$\mathfrak {sl}_3$$ Toda theory I: reflection coefficients	1
Average-case analysis of the Gaussian elimination with partial pivoting	1
Law of large numbers for the drift of the two-dimensional wreath product	1
An emergent autonomous flow for mean-field spin glasses	1
Accelerating abelian random walks with hyperbolic dynamics	1
Anomalous diffusion limit for a kinetic equation with a thermostatted interface	1
A multivariate extension of the Erdős–Taylor theorem	1
Deviation results for sparse tables in hashing with linear probing	1
Subexponential lower bounds for f-ergodic Markov processes	1
Geometry of Gaussian free field sign clusters and random interlacements	1