Probability Theory and Related Fields

Article	Citations
Fluctuations of the free energy in p-spin SK models on two scales	44
Mixing time of random walk on dynamical random cluster	30
Almost flat highest weights and application to Wilson loops on compact surfaces	29
Correction to: Exact value of the resistance exponent for four dimensional random walk trace	22
Strong posterior contraction rates via Wasserstein dynamics	18
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions	17
Entropy-Transport distances between unbalanced metric measure spaces	14
On the local well-posedness of randomly forced reaction-diffusion equations with $$\varvec{L^2}$$ initial data and a superlinear reaction term	14
The Brown measure of the free multiplicative Brownian motion	13
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$	12
Gaussian deconvolution and the lace expansion	12
Heat kernel estimates for nonlocal kinetic operators	11
Parity questions in critical planar Brownian loop-soups (or “where did the free planar bosons go?”)	11
Ergodicity and weak mixing for group-indexed infinitely divisible stationary processes	11
Martingale-driven integrals and singular SPDEs	10
A spatially-dependent fragmentation process	10
Phase transition for the smallest eigenvalue of covariance matrices	10
Correction: Poisson representable processes	9
Correction: An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions d > 6	9
Regularity of laws via Dirichlet forms: application to quadratic forms in independent and identically distributed random variables	9
Infinite disorder renormalization fixed point for the continuum random field Ising chain	9
Correction to: On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching	8
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics	8
Metastability between the clicks of Muller’s ratchet	8
Spherical integrals of sublinear rank	8

Critical one-arm probability for the metric Gaussian free field in low dimensions	8
Tip growth in a strongly concentrated conformal growth model follows local geodesics	8
Strong solutions to McKean–Vlasov SDEs associated to a class of degenerate Fokker–Planck equations with coefficients of Nemytskii-type	7
Branching random walks and Minkowski sum of random walks	7
Sparse reconstruction in spin systems II: Ising and other factor of IID measures	7
Symmetric cooperative motion in one dimension	7
A multivariate extension of the Erdős–Taylor theorem	7
Correction: Second time scale of the metastability of reversible inclusion processes	7
Sharp uniform-in-time propagation of chaos	7
Anomalous diffusion limit for a kinetic equation with a thermostatted interface	7
Normal approximation for exponential random graphs	7
Convergence of three-dimensional loop-erased random walk in the natural parametrization	6
Half-space Airy line ensembles	6
Random generation and scaling limits of fixed genus factorizations into transpositions	6
Coupling between Brownian motion and random walks on the infinite percolation cluster	6
The fuzzy Potts model in the plane: scaling limits and arm exponents	6
Covariance estimation with direction dependence accuracy	6
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE	6
Uniqueness of Dirichlet forms for random point fields in the absence of tail triviality	6
McKean–Vlasov stochastic partial differential equations: existence, uniqueness and propagation of chaos	6
Decorrelation transition in the Wigner minor process	6
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere	6
Hamilton–Jacobi scaling limits of Pareto peeling in 2D	6
The Brown measure of a family of free multiplicative Brownian motions	6
Optimal unimodular matchings	5
Editorial	5
Upper tail of the spectral radius of sparse Erdös–Rényi graphs	5
Upper bounds on the one-arm exponent for dependent percolation models	5
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains	5
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets	5
Sampling from convex sets with a cold start using multiscale decompositions	5
Quantitative stochastic homogenization of the G equation	5
Contracting isometries and differentiability of the escape rate	5
Correction to: Quenched large deviation principle for words in a letter sequence	5
Non-reversible lifts of reversible diffusion processes and relaxation times	5
Quantitative stochastic homogenization for random conductance models with stable-like jumps	5
The Doob transform and the tree behind the forest, with application to near-critical dimers	5
Central limit theorem for intrinsic Fréchet means in smooth compact Riemannian manifolds	5
Quenched and annealed heat kernel estimates for Brox’s diffusion	5
Six-vertex model with rare corners and random restricted permutations	5
Superdiffusive central limit theorem for a class of driven diffusive systems at the critical dimension	5
Stationary local random countable sets over the Wiener noise	5
Extremal invariant distributions of infinite Brownian particle systems with rank dependent drifts	4
On the multi-bubble blow-up solutions to focusing mass-critical stochastic nonlinear Schrödinger equations in dimensions one and two	4
Optimal transport methods for combinatorial optimization over two random point sets	4
Average-case analysis of the Gaussian elimination with partial pivoting	4
Propagation of chaos for maxima of particle systems with mean-field drift interaction	4
Free boundary dimers: random walk representation and scaling limit	4
Tight universal bounds on the height times the width of random trees	4
Gaussian unitary ensemble in random lozenge tilings	4

On the triviality of the shocked map	4
Trees with exponential height dependent weight	4
Capacity of the range of random walk: Moderate deviations in dimensions 4 and 5	4
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise	4
Mean-field analysis of latent variable process models on dynamically evolving graphs with feedback effects	4
Absence of percolation for infinite Poissonian systems of stopped paths	4
Explicit formulas for the inverses of Toeplitz matrices, with applications	4
Recurrence-Transience phase transition of the step-reinforced random walk at 1/2	4
Minimal distance between random orbits	4
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs	4
The incipient infinite cluster of the FK-Ising model in dimensions $$d\ge 3$$ and the susceptibility of the high-dimensional Ising model	4
Stefan problem with surface tension: global existence of physical solutions under radial symmetry	4
High-dimensional bootstrap and asymptotic expansion	4
The local limit of rooted directed animals on the square lattice	4
Geometry of the minimal spanning tree in the heavy-tailed regime: new universality classes	4
Conformally invariant boundary arcs in double dimers	4
The number of critical points of a Gaussian field: finiteness of moments	4
Harnack inequality and one-endedness of UST on reversible random graphs	4
Wright–Fisher stochastic heat equations with irregular drifts	4
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm	4
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions	4
Diophantine conditions in the law of the iterated logarithm for lacunary systems	4
Phase transition for the late points of random walk	4
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation	4
Functional central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs	3
KPZ equation from a class of nonlinear SPDEs in infinite volume	3
The friendship paradox for sparse random graphs	3
Self-affine sponges with random contractions	3
Asymptotics of generalized Bessel functions and weight multiplicities via large deviations of radial Dunkl processes	3
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE	3
Baxter permuton and Liouville quantum gravity	3
Regularisation by multiplicative noise for reaction–diffusion equations	3
The area of spheres in the Brownian plane	3
Uniform-in-time estimates on corrections to mean field for interacting Brownian particles	3
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem	3
Ultra high order cumulants and quantitative CLT for polynomials in random matrices	3
Tightness for random walks driven by the planar Gaussian free field at high temperature	3
Harmonic analysis of Gaussian multiplicative chaos on the circle	3
On the fluctuations of the extremal and cluster level sets of branching brownian motion	3
Mott’s law for the v.r.h. random resistor network and for Mott’s random walk	3
Local law and rigidity for unitary Brownian motion	3
Strong regularization by Brownian noise propagating through a weak Hörmander structure	3
Correction: The scaling limit of the root component in the wired minimal spanning forest of the poisson weighted infinite tree	3
Mesoscopic central limit theorem for non-Hermitian random matrices	3
Randomness and early termination: What makes a game exciting?	3
The algorithmic phase transition of random graph alignment problem	3
Fleming–Viot couples live forever	3
Moderate deviations of triangle counts in sparse Erdős-Rényi random graphs G(n, m) and G(n, p)	3
Flocking under Fast and Large Jumps: Stability, Chaos, and Traveling Waves	3
On minimizing curves in a Brownian potential	2
Favorite sites for simple random walk in two and more dimensions	2
An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $$d>4$$	2
Capacity lower bound for the Ising perceptron	2
Quantitative CLTs in deep neural networks	2
Hamilton–Jacobi equations from mean-field spin glasses	2
The scaling limit of the root component in the Wired Minimal Spanning Forest of the Poisson Weighted Infinite Tree	2
The free energy of spherical pure p-spin models: computation from the TAP approach	2
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization	2
Smoothness of random self-similar measures on the line and the existence of interior points	2
On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching	2
From ABC to KPZ	2
Metastability cascades and prewetting in the SOS model	2
Minimal harmonic measure on 2D lattices	2
On the Wiener chaos expansion of the signature of a Gaussian process	2
The free energy of matrix models	2
Nonparametric Bayesian estimation in a multidimensional diffusion model with high frequency data	2
Peeling the Brownian half-plane	2
Exit time analysis for Kesten’s stochastic recurrence equations	2
Hitting time mixing for the random transposition walk	2
Permutation invariance in last-passage percolation and the distribution of the Busemann process	2
A uniform Dvoretzky–Kiefer–Wolfowitz inequality	2
Connection probabilities of multiple FK-Ising interfaces	2
A geometrical viewpoint on the benign overfitting property of the minimum $$\ell _2$$-norm interpolant estimator and its universality	2
Characterizing models in regularity structures: a quasilinear case	2
Local central limit theorem for gradient field models	2
A Ray–Knight theorem for $$\nabla \phi $$ interface models and scaling limits	2
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime	2
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent	2
There is no stationary cyclically monotone Poisson matching in 2d	2
Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions	2

Moment generating functions and moderate deviation principles for lacunary sums	2
Estimating the probability that a given vector is in the convex hull of a random sample	2
Percolation on stretched lattices: a static renormalization approach	2
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry	2
Absence of zeros implies strong spatial mixing	2
Supercritical sharpness for Voronoi percolation	2
Correction: CLT in functional linear regression models	2
A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model	2
Single eigenvalue fluctuations of general Wigner-type matrices	2
Spread of infections in a heterogeneous moving population	2
Reversibility of whole-plane SLE for $$\kappa > 8$$	2
Benign overfitting and adaptive nonparametric regression	2
From robust tests to Bayes-like posterior distributions	2
SDEs with critical time dependent drifts: strong solutions	2
Universal cutoff for Dyson Ornstein Uhlenbeck process	2
Weighted sums and Berry-Esseen type estimates in free probability theory	2
Correction: Free multiplicative convolution with an arbitrary measure on the real line	1
Dynamical random field Ising model at zero temperature	1
The open ASEP with light particles	1
Failure of almost uniform convergence for noncommutative martingales	1
Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space	1
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve	1
Interface motion from Glauber-Kawasaki dynamics of non-gradient type	1
W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds	1
Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise	1
Spectral gap estimates for mixed p-spin models at high temperature	1
Concentration and moment inequalities for sums of independent heavy-tailed random matrices	1
Conformal welding of quantum disks and multiple SLE: the non-simple case	1
The critical variational setting for stochastic evolution equations	1
On the ergodicity of interacting particle systems under number rigidity	1
Correction: Sandwiching dense random regular graphs between binomial random graphs	1
Regularity and stability for the Gibbs conditioning principle on path space via McKean-Vlasov control	1
Bulk universality for complex non-Hermitian matrices with independent and identically distributed entries	1
The planted matching problem: sharp threshold and infinite-order phase transition	1
Eve, Adam and the preferential attachment tree	1
KPZ equation with a small noise, deep upper tail and limit shape	1
Delocalisation and absolute-value-FKG in the solid-on-solid model	1
Geodesic Lévy flights and expected stopping time for random searches	1
Upper tail large deviation for the one-dimensional frog model	1
Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups	1
Correction: Critical one-arm probability for the metric Gaussian free field in low dimensions	1
Shift invariance of half space integrable models	1
Uniqueness and mixing properties of Doeblin measures	1
Correction: An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions d > 4	1
Sharp threshold for the FA-2f kinetically constrained model	1
The dynamical Ising-Kac model in 3D converges to $$\Phi ^4_3$$	1
Matrix Whittaker processes	1
The $$\star $$-edge-reinforced random walk	1
Large deviations of the giant in supercritical kernel-based spatial random graphs	1
Periodic homogenisation for two dimensional generalised parabolic Anderson model	1
Size of chaos for Gibbs measures of mean field interacting diffusions	1
The height gap of planar Brownian motion is $$\frac{5}{\pi }$$	1
Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape	1
Edge statistics for lozenge tilings of polygons, I: concentration of height function on strip domains	1
Local times and capacity for transient branching random walks	1
Measure estimation on a manifold explored by a diffusion process	1
Periodic Lorentz gas with small scatterers	1
Typical large graphs with given edge and triangle densities	1
Limit theory for the first layers of the random convex hull peeling in the unit ball	1
Uncovering a graph	1
New results for the random nearest neighbor tree	1
Bi-Coupling method and applications	1
Random Euclidean coverage from within	1
Fast-oscillating random perturbations of Hamiltonian systems	1
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree	1
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules	1
A large-deviations principle for all the components in a sparse inhomogeneous random graph	1
Quantitative recurrence for $$T,T^{-1}$$ transformations	1
Global solutions of aggregation equations and other flows with random diffusion	1
Catalan percolation	1
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration	1
Poisson representable processes	1
Towards abstract Wiener model spaces	1
Sharp concentration for sums of matrices with Markovian dependence through universality	1
Instantaneous everywhere-blowup of parabolic SPDEs	1