Probability Theory and Related Fields

Article	Citations
High mode transport noise improves vorticity blow-up control in 3D Navier–Stokes equations	35
The mean field Schrödinger problem: ergodic behavior, entropy estimates and functional inequalities	24
Weak LQG metrics and Liouville first passage percolation	21
The infinitesimal generator of the stochastic Burgers equation	20
Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection–diffusion by stochastic Navier–Stokes	20
Entropic optimal transport: convergence of potentials	17
Efficient random graph matching via degree profiles	17
All adapted topologies are equal	17
Stein’s method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem	16
A mating-of-trees approach for graph distances in random planar maps	15
Liouville quantum gravity and the Brownian map III: the conformal structure is determined	15
Edge universality for non-Hermitian random matrices	15
Approximation of SDEs: a stochastic sewing approach	13
Infinite-dimensional stochastic differential equations and tail $$\sigma $$-fields	13
Anomalous diffusion of random walk on random planar maps	12
Local stationarity in exponential last-passage percolation	12
Mixing time of the Chung–Diaconis–Graham random process	12
Dyson Brownian motion for general $$\beta $$ and potential at the edge	11
Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights	11
Speeding up Markov chains with deterministic jumps	11
Superposition principle for non-local Fokker–Planck–Kolmogorov operators	11
On diffusion processes with drift in $$L_{d}$$	11
Phase transitions for detecting latent geometry in random graphs	10
Fluctuations of extreme eigenvalues of sparse Erdős–Rényi graphs	10
Multiplicative Schrödinger problem and the Dirichlet transport	10

Persistence of hubs in growing random networks	9
Optimal bilinear control of stochastic nonlinear Schrödinger equations: mass-(sub)critical case	9
Random band matrices in the delocalized phase, III: averaging fluctuations	9
Nonparametric estimation for interacting particle systems: McKean–Vlasov models	9
Stationary stochastic Higher Spin Six Vertex Model and q-Whittaker measure	9
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains	9
Markov processes related to the stationary measure for the open KPZ equation	9
A spectral condition for spectral gap: fast mixing in high-temperature Ising models	9
Polynomial inequalities on the Hamming cube	8
Superdiffusive limits for deterministic fast–slow dynamical systems	8
Periodic TASEP with general initial conditions	8
Finite free convolutions of polynomials	8
Power-law bounds for critical long-range percolation below the upper-critical dimension	8
Fermionic eigenvector moment flow	8
Limits of multiplicative inhomogeneous random graphs and Lévy trees: limit theorems	7
On estimation of $$L_{r}$$-norms in Gaussian white noise models	7
Robustness of the pathwise structure of fluctuations in stochastic homogenization	7
The overlap gap property in principal submatrix recovery	7
Does a central limit theorem hold for the k-skeleton of Poisson hyperplanes in hyperbolic space?	7
Universality for critical KCM: infinite number of stable directions	7
On the number of excursion sets of planar Gaussian fields	7
Convergence of the spectral radius of a random matrix through its characteristic polynomial	6
Quenched invariance principle for a class of random conductance models with long-range jumps	6
Point-to-line last passage percolation and the invariant measure of a system of reflecting Brownian motions	6
Eigenvector distribution in the critical regime of BBP transition	6
The effect of free boundary conditions on the Ising model in high dimensions	5
Non-uniformly parabolic equations and applications to the random conductance model	5
Asymptotic moments of spatial branching processes	5
TASEP and generalizations: method for exact solution	5
Cutoff profile of ASEP on a segment	5
Random Euclidean coverage from within	5
A transportation approach to the mean-field approximation	5
Planar random-cluster model: fractal properties of the critical phase	5
Scaling exponents of step-reinforced random walks	5
Height function delocalisation on cubic planar graphs	5
Stability of the Shannon–Stam inequality via the Föllmer process	4
Homological connectivity in random Čech complexes	4
Sharp transition of the invertibility of the adjacency matrices of sparse random graphs	4
Exact matching of random graphs with constant correlation	4
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces	4
Limit profiles for reversible Markov chains	4
A new correlation inequality for Ising models with external fields	4
Stationary distribution and cover time of sparse directed configuration models	4
Exponential decay of transverse correlations for O(N) spin systems and related models	4
Central limit type theorem and large deviation principle for multi-scale McKean–Vlasov SDEs	4
On planar graphs of uniform polynomial growth	4
The probability of intransitivity in dice and close elections	4
Non-reversible metastable diffusions with Gibbs invariant measure I: Eyring–Kramers formula	4
Outliers of random perturbations of Toeplitz matrices with finite symbols	4
Approximation of martingale couplings on the line in the adapted weak topology	4

Second time scale of the metastability of reversible inclusion processes	4
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree	4
Regularity of SLE in $$(t,\kappa )$$ and refined GRR estimates	3
Phase transitions for a class of gradient fields	3
Strong regularization by Brownian noise propagating through a weak Hörmander structure	3
Planarity and non-separating cycles in uniform high genus quadrangulations	3
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise	3
The Allen–Cahn equation with generic initial datum	3
Interacting diffusions on positive definite matrices	3
SLE loop measures	3
The distance exponent for Liouville first passage percolation is positive	3
KMT coupling for random walk bridges	3
Cluster capacity functionals and isomorphism theorems for Gaussian free fields	3
How linear reinforcement affects Donsker’s theorem for empirical processes	3
Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks	3
On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices	3
Exceptional points of two-dimensional random walks at multiples of the cover time	3
N-sided radial Schramm–Loewner evolution	3
Gaussian unitary ensemble in random lozenge tilings	3
Anchored expansion of Delaunay complexes in real hyperbolic space and stationary point processes	3
Spine representations for non-compact models of random geometry	3
The diameter of uniform spanning trees in high dimensions	3
Fluctuations of the log-gamma polymer free energy with general parameters and slopes	3
Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema	3
Minoration via mixed volumes and Cover’s problem for general channels	3
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry	3
Geometry of the minimal spanning tree of a random 3-regular graph	3
Global solutions of aggregation equations and other flows with random diffusion	2
Hidden diagonal integrability of q-Hahn vertex model and Beta polymer model	2
Poisson limit of bumping routes in the Robinson–Schensted correspondence	2
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces	2
Sharp threshold for the FA-2f kinetically constrained model	2
Spread of infections in a heterogeneous moving population	2
The multivariate functional de Jong CLT	2
Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions	2
A free boundary characterisation of the Root barrier for Markov processes	2
Quantitative correlation inequalities via extremal power series	2
Diffusions interacting through a random matrix: universality via stochastic Taylor expansion	2
Liouville dynamical percolation	2
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative	2
Fluctuations of $$\beta $$-Jacobi product processes	2
Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees	2
Tests and estimation strategies associated to some loss functions	2
Multi-point distribution of discrete time periodic TASEP	2
KPZ equation from non-simple variations on open ASEP	2
Fast initial conditions for Glauber dynamics	2
Quenched universality for deformed Wigner matrices	2
Delocalisation and absolute-value-FKG in the solid-on-solid model	2
Scaling limits of multi-type Markov Branching trees	2
Correction to: Speeding up Markov chains with deterministic jumps	2
Singular HJB equations with applications to KPZ on the real line	2
Noise sensitivity of the top eigenvector of a Wigner matrix	2
Measure estimation on manifolds: an optimal transport approach	2
Distribution dependent SDEs driven by additive fractional Brownian motion	2
Baxter permuton and Liouville quantum gravity	2
Critical Brownian multiplicative chaos	2
Growth-fragmentation process embedded in a planar Brownian excursion	2
Local law and rigidity for unitary Brownian motion	2
Noise sensitivity and exceptional times of transience for a simple symmetric random walk in one dimension	2
On quasisymmetric embeddings of the Brownian map and continuum trees	2
KPZ equation with a small noise, deep upper tail and limit shape	2
Quenched local central limit theorem for random walks in a time-dependent balanced random environment	2
The bead process for beta ensembles	2
Stability phenomena for Martin boundaries of relatively hyperbolic groups	2
Multi solitary waves to stochastic nonlinear Schrödinger equations	1
Hipster random walks	1
Trees with exponential height dependent weight	1
Convergence of genealogies through spinal decomposition with an application to population genetics	1
Sharp uniform-in-time propagation of chaos	1
Scaling limits for planar aggregation with subcritical fluctuations	1
One-point distribution of the geodesic in directed last passage percolation	1
The two regimes of moderate deviations for the range of a transient walk	1
Explicit formulas for the inverses of Toeplitz matrices, with applications	1
Motion by mean curvature in interacting particle systems	1
Geodesics and metric ball boundaries in Liouville quantum gravity	1
Universal cutoff for Dyson Ornstein Uhlenbeck process	1
Dynamic polymers: invariant measures and ordering by noise	1
Density of imaginary multiplicative chaos via Malliavin calculus	1
A CLT for the characteristic polynomial of random Jacobi matrices, and the G$$\beta $$E	1
A multifractal boundary spectrum for $${{\,\mathrm{SLE}\,}}_\kappa (\rho )$$	1

Feynman-Kac formula under a finite entropy condition	1
A formula for boundary correlations of the critical Ising model	1
Reflected BSDEs in non-convex domains	1
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve	1
Estimating the probability that a given vector is in the convex hull of a random sample	1
Geometric bounds on the fastest mixing Markov chain	1
Entropy-Transport distances between unbalanced metric measure spaces	1
Optimal transport methods for combinatorial optimization over two random point sets	1
Isoperimetric profiles and random walks on some groups defined by piecewise actions	1
Zero-temperature Glauber dynamics on the 3-regular tree and the median process	1
Ornstein–Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities	1
Fully-connected bond percolation on $${\mathbb {Z}}^d$$	1
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections	1
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree	1
The band structure of a model of spatial random permutation	1
Matrix Whittaker processes	1
Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups	1
Shotgun assembly threshold for lattice labeling model	1
Stefan problem with surface tension: global existence of physical solutions under radial symmetry	1
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization	1
Random-field random surfaces	1
Single eigenvalue fluctuations of general Wigner-type matrices	1
Correction to: Tightness for the cover time of the two dimensional sphere	1
Parking on the infinite binary tree	1
A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model	1
Existence of martingale solutions and large-time behavior for a stochastic mean curvature flow of graphs	1
The local limit of uniform spanning trees	1
Compactness and fractal dimensions of inhomogeneous continuum random trees	1
Sharp Poincaré and log-Sobolev inequalities for the switch chain on regular bipartite graphs	1
Accelerating abelian random walks with hyperbolic dynamics	1
On the $$\Phi $$-stability and related conjectures	1
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets	1
On the computational tractability of statistical estimation on amenable graphs	1
Deviation results for sparse tables in hashing with linear probing	1
Mapping TASEP back in time	1
Correction to: Asymptotic moments of spatial branching processes	1
Upper bounds on the one-arm exponent for dependent percolation models	1
A planar Ising model of self-organized criticality	1
The planted matching problem: sharp threshold and infinite-order phase transition	1
Random walks on $$\textrm{SL}_2({\mathbb {C}})$$: spectral gap and limit theorems	1
Sandwiching dense random regular graphs between binomial random graphs	1
On the tail of the branching random walk local time	1
Three-point correlation functions in the $$\mathfrak {sl}_3$$ Toda theory I: reflection coefficients	1
The sustainability probability for the critical Derrida–Retaux model	1
Phase transitions for spatially extended pinning	1