Probability Theory and Related Fields

Article	Citations
Fluctuations of the free energy in p-spin SK models on two scales	39
Mixing time of random walk on dynamical random cluster	27
On the local well-posedness of randomly forced reaction-diffusion equations with $$\varvec{L^2}$$ initial data and a superlinear reaction term	25
Almost flat highest weights and application to Wilson loops on compact surfaces	22
Correction to: Exact value of the resistance exponent for four dimensional random walk trace	17
Compactness and fractal dimensions of inhomogeneous continuum random trees	15
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces	14
Gaussian deconvolution and the lace expansion	13
The Brown measure of the free multiplicative Brownian motion	13
Entropy-Transport distances between unbalanced metric measure spaces	12
A spatially-dependent fragmentation process	11
Strong posterior contraction rates via Wasserstein dynamics	11
The intransitive dice kernel: $$\frac{\mathbbm {1}_{x\ge y}-\mathbbm {1}_{x\le y}}{4} - \frac{3(x-y)(1+xy)}{8}$$	11
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions	11
Parity questions in critical planar Brownian loop-soups (or “where did the free planar bosons go?”)	11
Phase transition for the smallest eigenvalue of covariance matrices	10
Martingale-driven integrals and singular SPDEs	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
Distribution dependent SDEs driven by additive fractional Brownian motion	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
Spherical integrals of sublinear rank	9
A multivariate extension of the Erdős–Taylor theorem	8
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics	8

Symmetric cooperative motion in one dimension	8
Metastability between the clicks of Muller’s ratchet	8
Strong solutions to McKean–Vlasov SDEs associated to a class of degenerate Fokker–Planck equations with coefficients of Nemytskii-type	8
Correction to: On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching	7
Correction: Second time scale of the metastability of reversible inclusion processes	7
Sharp uniform-in-time propagation of chaos	7
Sparse reconstruction in spin systems II: Ising and other factor of IID measures	7
Anomalous diffusion limit for a kinetic equation with a thermostatted interface	7
Branching random walks and Minkowski sum of random walks	7
Normal approximation for exponential random graphs	7
The fuzzy Potts model in the plane: scaling limits and arm exponents	7
Critical one-arm probability for the metric Gaussian free field in low dimensions	7
McKean–Vlasov stochastic partial differential equations: existence, uniqueness and propagation of chaos	6
Decorrelation transition in the Wigner minor process	6
Contracting isometries and differentiability of the escape rate	6
Quenched universality for deformed Wigner matrices	6
Coupling between Brownian motion and random walks on the infinite percolation cluster	6
Hamilton–Jacobi scaling limits of Pareto peeling in 2D	6
Covariance estimation with direction dependence accuracy	6
Convergence of three-dimensional loop-erased random walk in the natural parametrization	6
The Brown measure of a family of free multiplicative Brownian motions	6
Half-space Airy line ensembles	6
Random generation and scaling limits of fixed genus factorizations into transpositions	6
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE	5
Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions	5
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains	5
Central limit theorem for intrinsic Fréchet means in smooth compact Riemannian manifolds	5
Non-reversible lifts of reversible diffusion processes and relaxation times	5
Stationary local random countable sets over the Wiener noise	5
Optimal unimodular matchings	5
Sampling from convex sets with a cold start using multiscale decompositions	5
Correction to: Quenched large deviation principle for words in a letter sequence	5
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets	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
Upper bounds on the one-arm exponent for dependent percolation models	5
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere	5
Six-vertex model with rare corners and random restricted permutations	5
Quantitative stochastic homogenization of the G equation	5
Upper tail of the spectral radius of sparse Erdös–Rényi graphs	5
Quasi-static limit for the asymmetric simple exclusion	5
Diophantine conditions in the law of the iterated logarithm for lacunary systems	4
The number of critical points of a Gaussian field: finiteness of moments	4
Gaussian unitary ensemble in random lozenge tilings	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
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm	4
Semicircular families of general covariance from Wigner matrices with permuted entries	4
Propagation of chaos for maxima of particle systems with mean-field drift interaction	4
Average-case analysis of the Gaussian elimination with partial pivoting	4
Free boundary dimers: random walk representation and scaling limit	4

Wright–Fisher stochastic heat equations with irregular drifts	4
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions	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
On the multi-bubble blow-up solutions to focusing mass-critical stochastic nonlinear Schrödinger equations in dimensions one and two	4
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs	4
Recurrence-Transience phase transition of the step-reinforced random walk at 1/2	4
On the triviality of the shocked map	4
Harnack inequality and one-endedness of UST on reversible random graphs	4
Stefan problem with surface tension: global existence of physical solutions under radial symmetry	4
Minimal distance between random orbits	4
Absence of percolation for infinite Poissonian systems of stopped paths	4
Nonparametric Bayesian estimation in a multidimensional diffusion model with high frequency data	3
The algorithmic phase transition of random graph alignment problem	3
Large N limit and 1/N expansion of invariant observables in O(N) linear $$\sigma $$-model via SPDE	3
Fleming–Viot couples live forever	3
Number of paths in oriented percolation as zero temperature limit of directed polymer	3
Ultra high order cumulants and quantitative CLT for polynomials in random matrices	3
The friendship paradox for sparse random graphs	3
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation	3
Mean-field analysis of latent variable process models on dynamically evolving graphs with feedback effects	3
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms	3
Optimal transport methods for combinatorial optimization over two random point sets	3
Extremal invariant distributions of infinite Brownian particle systems with rank dependent drifts	3
Asymptotics of generalized Bessel functions and weight multiplicities via large deviations of radial Dunkl processes	3
On the Wiener chaos expansion of the signature of a Gaussian process	3
Baxter permuton and Liouville quantum gravity	3
A uniform Dvoretzky–Kiefer–Wolfowitz inequality	3
Regularisation by multiplicative noise for reaction–diffusion equations	3
White-noise driven conditional McKean–Vlasov limits for systems of particles with simultaneous and random jumps	3
Mott’s law for the v.r.h. random resistor network and for Mott’s random walk	3
High-dimensional bootstrap and asymptotic expansion	3
Mesoscopic central limit theorem for non-Hermitian random matrices	3
Conformally invariant boundary arcs in double dimers	3
Trees with exponential height dependent weight	3
Explicit formulas for the inverses of Toeplitz matrices, with applications	3
Local law and rigidity for unitary Brownian motion	3
Strong regularization by Brownian noise propagating through a weak Hörmander structure	3
Hamilton–Jacobi equations from mean-field spin glasses	3
Quantitative CLTs in deep neural networks	3
Supercritical sharpness for Voronoi percolation	3
Tightness for random walks driven by the planar Gaussian free field at high temperature	3
Randomness and early termination: What makes a game exciting?	3
Moderate deviations of triangle counts in sparse Erdős-Rényi random graphs G(n, m) and G(n, p)	3
Correction: The scaling limit of the root component in the wired minimal spanning forest of the poisson weighted infinite tree	3
Uniform-in-time estimates on corrections to mean field for interacting Brownian particles	3
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise	3
Tight universal bounds on the height times the width of random trees	3
The area of spheres in the Brownian plane	3
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem	3
Estimating the probability that a given vector is in the convex hull of a random sample	2
Favorite sites for simple random walk in two and more dimensions	2
Peeling the Brownian half-plane	2
The free energy of spherical pure p-spin models: computation from the TAP approach	2
Connection probabilities of multiple FK-Ising interfaces	2
An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $$d>4$$	2
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation	2
Moment generating functions and moderate deviation principles for lacunary sums	2
Reversibility of whole-plane SLE for $$\kappa > 8$$	2
Density of imaginary multiplicative chaos via Malliavin calculus	2
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime	2
Singular HJB equations with applications to KPZ on the real line	2
SDEs with critical time dependent drifts: strong solutions	2
A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model	2
On metastability	2
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry	2
From ABC to KPZ	2
From robust tests to Bayes-like posterior distributions	2
Deviation results for sparse tables in hashing with linear probing	2
Correction: CLT in functional linear regression models	2
Universal cutoff for Dyson Ornstein Uhlenbeck process	2
Percolation on stretched lattices: a static renormalization approach	2
Exit time analysis for Kesten’s stochastic recurrence equations	2
Capacity lower bound for the Ising perceptron	2
Smoothness of random self-similar measures on the line and the existence of interior points	2
A Ray–Knight theorem for $$\nabla \phi $$ interface models and scaling limits	2
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent	2
Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions	2
The free energy of matrix models	2
The scaling limit of the root component in the Wired Minimal Spanning Forest of the Poisson Weighted Infinite Tree	2

Metastability cascades and prewetting in the SOS model	2
Hitting time mixing for the random transposition walk	2
There is no stationary cyclically monotone Poisson matching in 2d	2
Local central limit theorem for gradient field models	2
On minimizing curves in a Brownian potential	2
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials	2
Absence of zeros implies strong spatial mixing	2
Stochastic quantization associated with the $$\exp (\Phi )_2$$-quantum field model driven by space-time white noise on the torus in the full $$L^1$$-regime	2
On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching	2
Benign overfitting and adaptive nonparametric regression	2
Weighted sums and Berry-Esseen type estimates in free probability theory	2
Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space	1
Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape	1
The critical variational setting for stochastic evolution equations	1
Shift invariance of half space integrable models	1
Towards abstract Wiener model spaces	1
Single eigenvalue fluctuations of general Wigner-type matrices	1
Large deviations of the giant in supercritical kernel-based spatial random graphs	1
Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups	1
Spread of infections in a heterogeneous moving population	1
Edge statistics for lozenge tilings of polygons, I: concentration of height function on strip domains	1
Periodic Lorentz gas with small scatterers	1
Sharp concentration for sums of matrices with Markovian dependence through universality	1
Limit theory for the first layers of the random convex hull peeling in the unit ball	1
Uncovering a graph	1
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules	1
Global solutions of aggregation equations and other flows with random diffusion	1
Quantitative recurrence for $$T,T^{-1}$$ transformations	1
Eve, Adam and the preferential attachment tree	1
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve	1
Size of chaos for Gibbs measures of mean field interacting diffusions	1
Correction: Sandwiching dense random regular graphs between binomial random graphs	1
Minimal matchings of point processes	1
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration	1
Characterizing models in regularity structures: a quasilinear case	1
Poisson representable processes	1
The planted matching problem: sharp threshold and infinite-order phase transition	1
The height gap of planar Brownian motion is $$\frac{5}{\pi }$$	1
Catalan percolation	1
Regularity and stability for the Gibbs conditioning principle on path space via McKean-Vlasov control	1
Matrix Whittaker processes	1
Conformal welding of quantum disks and multiple SLE: the non-simple case	1
Concentration and moment inequalities for sums of independent heavy-tailed random matrices	1
Reinforced Galton–Watson processes III: Empirical offspring distributions	1
W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds	1
Correction: Critical one-arm probability for the metric Gaussian free field in low dimensions	1
Interface motion from Glauber-Kawasaki dynamics of non-gradient type	1
Instantaneous everywhere-blowup of parabolic SPDEs	1
Dynamical random field Ising model at zero temperature	1
Bulk universality for complex non-Hermitian matrices with independent and identically distributed entries	1
Correction: An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions d > 4	1
Failure of almost uniform convergence for noncommutative martingales	1
Fast-oscillating random perturbations of Hamiltonian systems	1
The dynamical Ising-Kac model in 3D converges to $$\Phi ^4_3$$	1
Minimal harmonic measure on 2D lattices	1
Periodic homogenisation for two dimensional generalised parabolic Anderson model	1
A geometrical viewpoint on the benign overfitting property of the minimum $$\ell _2$$-norm interpolant estimator and its universality	1
Sharp threshold for the FA-2f kinetically constrained model	1
A large-deviations principle for all the components in a sparse inhomogeneous random graph	1
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization	1
Random Euclidean coverage from within	1
Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise	1
KPZ equation with a small noise, deep upper tail and limit shape	1
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree	1
Delocalisation and absolute-value-FKG in the solid-on-solid model	1
Uniqueness and mixing properties of Doeblin measures	1
Geodesic Lévy flights and expected stopping time for random searches	1
The replica-symmetric free energy for Ising spin glasses with orthogonally invariant couplings	1
On the ergodicity of interacting particle systems under number rigidity	1
The $$\star $$-edge-reinforced random walk	1
Typical large graphs with given edge and triangle densities	1
Measure estimation on a manifold explored by a diffusion process	1
Bi-Coupling method and applications	1
Scaling limits for planar aggregation with subcritical fluctuations	1