Cover Image

Limit theorems for the number of sign and level-set clusters of the Gaussian free field

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	McAuley, Michael, Muirhead, Stephen
Format:	Preprint
Published:	2025
Subjects:	Probability Mathematical Physics 60G60, 60G15, 60F05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A covariance formula for the number of excursion set components of Gaussian fields and applications
by: Beliaev, Dmitry, et al.
Published: (2023)

Three central limit theorems for the unbounded excursion component of a Gaussian field
by: McAuley, Michael
Published: (2024)

Limit theorems for non-local functionals of smooth Gaussian fields via quasi-association
by: McAuley, Michael
Published: (2026)

A covariance formula for topological events of smooth Gaussian fields
by: Beliaev, Dmitry, et al.
Published: (2018)

Zeros and critical points of Gaussian fields: cumulants asymptotics and limit theorems
by: Ancona, Michele, et al.
Published: (2025)

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition
by: Coppini, Fabio, et al.
Published: (2025)

Geometry of Gaussian free field sign clusters and random interlacements
by: Drewitz, Alexander, et al.
Published: (2018)

Limit theorems for anisotropic functionals of stationary Gaussian fields with Gneiting covariance function
by: Leonenko, Nikolai, et al.
Published: (2026)

Equality of critical parameters for percolation of Gaussian free field level-sets
by: Duminil-Copin, Hugo, et al.
Published: (2020)

A general correlation inequality for level sets of sums of independent random variables using the Bernoulli part with applications to the almost sure local limit theorem
by: Weber, Michel J. G.
Published: (2023)

Small-time central limit theorems for stochastic Volterra integral equations and their Markovian lifts
by: Friesen, Martin, et al.
Published: (2024)

Limit theorems for stochastic Volterra processes
by: Bianchi, Luigi Amedeo, et al.
Published: (2025)

The number of real zeros of elliptic polynomials
by: Nguyen, Nhan D. V.
Published: (2021)

Near-maxima of the two-dimensional Discrete Gaussian Free Field
by: Biskup, Marek, et al.
Published: (2020)

Hard wall repulsion for the discrete Gaussian free field in random environment on $\mathbb{Z}^d$, $d\geq 3$
by: Chiarini, Alberto, et al.
Published: (2025)

Optimal local central limit theorems on Wiener chaos
by: Ebina, Masahisa, et al.
Published: (2025)

A uniform semi-local limit theorem along sets of multiples for sums of i.i.d. random variables
by: Weber, Michel J. G.
Published: (2022)

Central limit theorems for stochastic wave equations in high dimensions
by: Ebina, Masahisa
Published: (2023)

Central limit theorems for nonlinear stochastic wave equations in dimension three
by: Ebina, Masahisa
Published: (2022)

On asymptotic behavior of solutions to random fractional Riesz-Bessel equations with cyclic long memory initial conditions
by: Alghamdi, Maha Mosaad A., et al.
Published: (2025)

Multiscale Asymptotic Analysis of Kernel-Smoothed Solutions to Fractional Riesz-Bessel Equations with Random Initial Conditions
by: Khan, Shahid, et al.
Published: (2026)

Quantitative bounds for high-dimensional non-linear functionals of Gaussian processes
by: Basse-O'Connor, Andreas, et al.
Published: (2025)

The second fluctuation-dissipation theorem for the generalized Langevin equation
by: Hanke, Martin
Published: (2025)

A quantitative CLT on a finite sum of Wiener chaoses and applications to ratios of Gaussian functionals
by: Es-Sebaiy, Khalifa
Published: (2024)

A SIR epidemic model on a refining spatial grid II-Central limit theorem
by: Gallouët, Thierry, et al.
Published: (2024)

Noise-like analytic properties of imaginary chaos
by: Aru, Juhan, et al.
Published: (2024)

Berry-Esséen bound for complex Wiener-Itô integral
by: Chen, Huiping, et al.
Published: (2024)

On the convex hull of two planar random walks
by: Ivanković, Daniela, et al.
Published: (2024)

On Mukhin's necessary and sufficient condition for the validity of the local limit theorem
by: Weber, Michel J. G.
Published: (2022)

Stable limit theorems on the Poisson space
by: Herry, Ronan
Published: (2019)

Classical and Almost Sure Local Limit Theorems
by: Szewczak, Zbigniew, et al.
Published: (2022)

A martingale-type characterisation of the Gaussian free field and fractional Gaussian free fields
by: Aru, Juhan, et al.
Published: (2024)

Central Limit Theorems for Local Functionals of Dynamic Point Processes
by: Onaran, Efe, et al.
Published: (2023)

On support sets of the critical Liouville Quantum Gravity
by: Biskup, Marek, et al.
Published: (2024)

Renewal structure of the Tree Builder Random Walk
by: Ribeiro, Rodrigo
Published: (2023)

On Khinchin's theorem about the special role of the Gaussian distribution
by: Khachatryan, Linda A.
Published: (2023)

A characterisation of the continuum Gaussian free field in $d \geq 2$ dimensions
by: Aru, Juhan, et al.
Published: (2021)

Stationary random measures : Covariance asymptotics, variance bounds and central limit theorems
by: Krishnapur, Manjunath, et al.
Published: (2024)

Percolation for two-dimensional excursion clouds and the discrete Gaussian free field
by: Drewitz, Alexander, et al.
Published: (2022)

A remark on elephant random walks via the classical law of the iterated logarithm for self-similar Gaussian processes
by: Shibata, Shuhei, et al.
Published: (2025)