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
Almost flat highest weights and application to Wilson loops on compact surfaces	25
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces	19
Parity questions in critical planar Brownian loop-soups (or “where did the free planar bosons go?”)	15
Correction to: Exact value of the resistance exponent for four dimensional random walk trace	14
Strong posterior contraction rates via Wasserstein dynamics	14
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions	13
The Brown measure of the free multiplicative Brownian motion	11
Entropy-Transport distances between unbalanced metric measure spaces	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
On the local well-posedness of randomly forced reaction-diffusion equations with $$\varvec{L^2}$$ initial data and a superlinear reaction term	11
A spatially-dependent fragmentation process	10
Gaussian deconvolution and the lace expansion	10
Infinite disorder renormalization fixed point for the continuum random field Ising chain	9
Spherical integrals of sublinear rank	9
Phase transition for the smallest eigenvalue of covariance matrices	9
Martingale-driven integrals and singular SPDEs	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
Critical one-arm probability for the metric Gaussian free field in low dimensions	8
A multivariate extension of the Erdős–Taylor theorem	8
Correction: Poisson representable processes	8
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
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
Normal approximation for exponential random graphs	7
The fuzzy Potts model in the plane: scaling limits and arm exponents	7
Sharp uniform-in-time propagation of chaos	7
Branching random walks and Minkowski sum of random walks	7
Anomalous diffusion limit for a kinetic equation with a thermostatted interface	7
Symmetric cooperative motion in one dimension	7
Sparse reconstruction in spin systems II: Ising and other factor of IID measures	7
Coupling between Brownian motion and random walks on the infinite percolation cluster	6
The Brown measure of a family of free multiplicative Brownian motions	6
Covariance estimation with direction dependence accuracy	6
Correction: Second time scale of the metastability of reversible inclusion processes	6
Decorrelation transition in the Wigner minor process	6
Half-space Airy line ensembles	6
Random generation and scaling limits of fixed genus factorizations into transpositions	6
Convergence of three-dimensional loop-erased random walk in the natural parametrization	6
McKean–Vlasov stochastic partial differential equations: existence, uniqueness and propagation of chaos	6
Quenched universality for deformed Wigner matrices	6
Hamilton–Jacobi scaling limits of Pareto peeling in 2D	6
Phase transition of eigenvalues in deformed Ginibre ensembles I: GinUE	5
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains	5
Six-vertex model with rare corners and random restricted permutations	5
Stationary local random countable sets over the Wiener noise	5
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets	5
Optimal unimodular matchings	5
Quantitative stochastic homogenization of the G equation	5
Upper bounds on the one-arm exponent for dependent percolation models	5
Non-reversible lifts of reversible diffusion processes and relaxation times	5
Upper tail of the spectral radius of sparse Erdös–Rényi graphs	5
On the triviality of the shocked map	5
Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere	5
Sampling from convex sets with a cold start using multiscale decompositions	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
Quantitative stochastic homogenization for random conductance models with stable-like jumps	5
The number of critical points of a Gaussian field: finiteness of moments	5
Correction to: Quenched large deviation principle for words in a letter sequence	5
Contracting isometries and differentiability of the escape rate	5
Absence of percolation for infinite Poissonian systems of stopped paths	4
Average-case analysis of the Gaussian elimination with partial pivoting	4
Recurrence-Transience phase transition of the step-reinforced random walk at 1/2	4
Polynomial rates via deconvolution for nonparametric estimation in McKean–Vlasov SDEs	4
Minimal distance between random orbits	4
Tight universal bounds on the height times the width of random trees	4
Trees with exponential height dependent weight	4
On the multi-bubble blow-up solutions to focusing mass-critical stochastic nonlinear Schrödinger equations in dimensions one and two	4
Propagation of chaos for maxima of particle systems with mean-field drift interaction	4
Wright–Fisher stochastic heat equations with irregular drifts	4

Free boundary dimers: random walk representation and scaling limit	4
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions	4
Stefan problem with surface tension: global existence of physical solutions under radial symmetry	4
Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms	4
Optimal transport methods for combinatorial optimization over two random point sets	4
Harnack inequality and one-endedness of UST on reversible random graphs	4
Semicircular families of general covariance from Wigner matrices with permuted entries	4
Gaussian unitary ensemble in random lozenge tilings	4
Diophantine conditions in the law of the iterated logarithm for lacunary systems	4
Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm	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
Explicit formulas for the inverses of Toeplitz matrices, with applications	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
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation	3
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise	3
The friendship paradox for sparse random graphs	3
Mott’s law for the v.r.h. random resistor network and for Mott’s random walk	3
A uniform Dvoretzky–Kiefer–Wolfowitz inequality	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
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
High-dimensional bootstrap and asymptotic expansion	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
Moderate deviations of triangle counts in sparse Erdős-Rényi random graphs G(n, m) and G(n, p)	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
Ultra high order cumulants and quantitative CLT for polynomials in random matrices	3
The area of spheres in the Brownian plane	3
Randomness and early termination: What makes a game exciting?	3
Conformally invariant boundary arcs in double dimers	3
Mean-field analysis of latent variable process models on dynamically evolving graphs with feedback effects	3
Local law and rigidity for unitary Brownian motion	3
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem	3
Hamilton–Jacobi equations from mean-field spin glasses	3
Baxter permuton and Liouville quantum gravity	3
On the Wiener chaos expansion of the signature of a Gaussian process	3
Regularisation by multiplicative noise for reaction–diffusion equations	3
Harmonic analysis of Gaussian multiplicative chaos on the circle	3
Mesoscopic central limit theorem for non-Hermitian random matrices	3
Uniform-in-time estimates on corrections to mean field for interacting Brownian particles	3
Nonparametric Bayesian estimation in a multidimensional diffusion model with high frequency data	2
Local central limit theorem for gradient field models	2
Catalan percolation	2
Minimal harmonic measure on 2D lattices	2
Benign overfitting and adaptive nonparametric regression	2
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent	2
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime	2
Estimating the probability that a given vector is in the convex hull of a random sample	2
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry	2
Metastability cascades and prewetting in the SOS model	2
Favorite sites for simple random walk in two and more dimensions	2
The scaling limit of the root component in the Wired Minimal Spanning Forest of the Poisson Weighted Infinite Tree	2
Weighted sums and Berry-Esseen type estimates in free probability theory	2
Percolation on stretched lattices: a static renormalization approach	2
Exit time analysis for Kesten’s stochastic recurrence equations	2
On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching	2
Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions	2
Regularity and stability for the Gibbs conditioning principle on path space via McKean-Vlasov control	2
On metastability	2
SDEs with critical time dependent drifts: strong solutions	2
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization	2
An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $$d>4$$	2
Peeling the Brownian half-plane	2
Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation	2
The free energy of spherical pure p-spin models: computation from the TAP approach	2
From ABC to KPZ	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
Universal cutoff for Dyson Ornstein Uhlenbeck process	2
Correction: CLT in functional linear regression models	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
Hitting time mixing for the random transposition walk	2
A probabilistic approach of ultraviolet renormalization in the boundary Sine-Gordon model	2

Capacity lower bound for the Ising perceptron	2
From robust tests to Bayes-like posterior distributions	2
The free energy of matrix models	2
There is no stationary cyclically monotone Poisson matching in 2d	2
Connection probabilities of multiple FK-Ising interfaces	2
Moment generating functions and moderate deviation principles for lacunary sums	2
Reversibility of whole-plane SLE for $$\kappa > 8$$	2
The critical variational setting for stochastic evolution equations	1
Uniqueness and mixing properties of Doeblin measures	1
The planted matching problem: sharp threshold and infinite-order phase transition	1
Bi-Coupling method and applications	1
Instantaneous everywhere-blowup of parabolic SPDEs	1
W-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds	1
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree	1
Size of chaos for Gibbs measures of mean field interacting diffusions	1
Uncovering a graph	1
Local times and capacity for transient branching random walks	1
On the ergodicity of interacting particle systems under number rigidity	1
Typical large graphs with given edge and triangle densities	1
New results for the random nearest neighbor tree	1
Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space	1
Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups	1
The replica-symmetric free energy for Ising spin glasses with orthogonally invariant couplings	1
Edge statistics for lozenge tilings of polygons, I: concentration of height function on strip domains	1
Poisson representable processes	1
Single eigenvalue fluctuations of general Wigner-type matrices	1
Sharp concentration for sums of matrices with Markovian dependence through universality	1
The height gap of planar Brownian motion is $$\frac{5}{\pi }$$	1
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules	1
Characterizing models in regularity structures: a quasilinear case	1
Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape	1
Sharp threshold for the FA-2f kinetically constrained model	1
Concentration and moment inequalities for sums of independent heavy-tailed random matrices	1
Correction: Sandwiching dense random regular graphs between binomial random graphs	1
Dynamical random field Ising model at zero temperature	1
The $$\star $$-edge-reinforced random walk	1
Bulk universality for complex non-Hermitian matrices with independent and identically distributed entries	1
Geodesic Lévy flights and expected stopping time for random searches	1
Upper tail large deviation for the one-dimensional frog model	1
Interface motion from Glauber-Kawasaki dynamics of non-gradient type	1
Conformal welding of quantum disks and multiple SLE: the non-simple case	1
Delocalisation and absolute-value-FKG in the solid-on-solid model	1
Correction: Critical one-arm probability for the metric Gaussian free field in low dimensions	1
Random Euclidean coverage from within	1
KPZ equation with a small noise, deep upper tail and limit shape	1
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve	1
Periodic homogenisation for two dimensional generalised parabolic Anderson model	1
Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise	1
Large deviations of the giant in supercritical kernel-based spatial random graphs	1
Spread of infections in a heterogeneous moving population	1
Fast-oscillating random perturbations of Hamiltonian systems	1
A geometrical viewpoint on the benign overfitting property of the minimum $$\ell _2$$-norm interpolant estimator and its universality	1
A large-deviations principle for all the components in a sparse inhomogeneous random graph	1
Correction: An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions d > 4	1
Global solutions of aggregation equations and other flows with random diffusion	1
Eve, Adam and the preferential attachment tree	1
Scaling limits for planar aggregation with subcritical fluctuations	1
Periodic Lorentz gas with small scatterers	1
Quantitative recurrence for $$T,T^{-1}$$ transformations	1
Measure estimation on a manifold explored by a diffusion process	1
The open ASEP with light particles	1
The dynamical Ising-Kac model in 3D converges to $$\Phi ^4_3$$	1
Failure of almost uniform convergence for noncommutative martingales	1
Limit theory for the first layers of the random convex hull peeling in the unit ball	1
Spectral gap estimates for mixed p-spin models at high temperature	1
Shift invariance of half space integrable models	1
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration	1
Minimal matchings of point processes	1
Reinforced Galton–Watson processes III: Empirical offspring distributions	1
Matrix Whittaker processes	1
Towards abstract Wiener model spaces	1