Cover Image

A central limit theorem for the number of excursion set components of Gaussian fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Beliaev, Dmitry, McAuley, Michael, Muirhead, Stephen
Format:	Preprint
Published:	2022
Subjects:	Probability
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 the number of sign and level-set clusters of the Gaussian free field
by: McAuley, Michael, et al.
Published: (2025)

The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration
by: Muirhead, Stephen, et al.
Published: (2024)

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

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

Boundedness of the nodal domains of additive Gaussian fields
by: Muirhead, Stephen
Published: (2021)

Percolation of strongly correlated Gaussian fields I. Decay of subcritical connection probabilities
by: Muirhead, Stephen, et al.
Published: (2022)

High local maxima of stationary smooth Gaussian fields
by: Beliaev, Dmitry, et al.
Published: (2026)

Persistence and entropic repulsion of stationary Gaussian fields with spectral singularity at the origin
by: Feldheim, Naomi, et al.
Published: (2026)

The maximum of a strongly correlated Gaussian process
by: Li, Jason, et al.
Published: (2026)

Gaussian random field's anisotropy using excursion sets
by: Azaïs, Jean-Marc, et al.
Published: (2025)

Poisson approximation of the largest gaps between zeros of a stationary Gaussian process
by: Feng, Renjie, et al.
Published: (2026)

Conformal welding of independent Gaussian multiplicative chaos measures
by: Kupiainen, Antti, et al.
Published: (2023)

The central limit theorem and rate of mixing for simple random walks on the circle
by: Czudek, Klaudiusz, et al.
Published: (2024)

Law of large numbers and central limit theorem for renewal Hawkes processes
by: Ruíz, Luis Iván Hernández
Published: (2023)

Laws of large numbers and central limit theorem for Ewens-Pitman model
by: Contardi, Claudia, et al.
Published: (2024)

Malliavin differentiability for the excursion measure of a Gaussian field
by: Maini, Leonardo
Published: (2025)

Functional central limit theorem for topological functionals of Gaussian critical points
by: Hirsch, Christian, et al.
Published: (2024)

A central limit theorem for the matching number of a sparse random graph
by: Glasgow, Margalit, et al.
Published: (2024)

Functional law of large numbers and central limit theorem for Crump-Mode-Jagers branching processes
by: Dramé, Ibrahima, et al.
Published: (2025)

Almost sure central limit theorems for parabolic/hyperbolic Anderson models with Gaussian colored noises
by: Xia, Panqiu, et al.
Published: (2024)

On the joint distribution of the area and the number of peaks for Bernoulli excursions
by: Kargin, Vladislav
Published: (2024)

Quasi-continuity method for mean-field diffusions: large deviations and central limit theorem
by: Chaintron, Louis-Pierre
Published: (2024)

Law of large numbers and central limit theorem for ergodic quantum processes
by: Pathirana, Lubashan, et al.
Published: (2023)

A central limit theorem for the variation of the sum of digits
by: Hosten, Yohan, et al.
Published: (2021)

Local limit theorems for expanding maps
by: Dolgopyat, Dmitry, et al.
Published: (2024)

On central limit theorems for Ewens-Pitman model
by: Wang, Yizao
Published: (2026)

A short proof of a central limit theorem for the order of the giant component and $k$-core
by: Anastos, Michael, et al.
Published: (2025)

Quantitative central limit theorem for an integrated periodogram via the fourth moment theorem
by: Hariz, Samir Ben, et al.
Published: (2026)

Total variation bounds in the Lindeberg central limit theorem
by: Dung, N. T., et al.
Published: (2025)

Rates in the central limit theorem for random projections of Martingales
by: Dedecker, J, et al.
Published: (2024)

A central limit theorem and its application to the limiting distribution of volatility target index
by: Liu, Xuan, et al.
Published: (2025)

Quenched law of large numbers and quenched central limit theorem for multi-player leagues with ergodic strengths
by: Borga, Jacopo, et al.
Published: (2021)

A central limit theorem for unbalanced step-reinforced random walks
by: Hu, Zhishui, et al.
Published: (2025)

Construction and limit theorems for supCAR fields
by: Donhauzer, Illia, et al.
Published: (2025)

Inhomogeneous central limit theorems for the voter model occupation times
by: Xue, Xiaofeng
Published: (2026)

Functional central limit theorems for the dynamic elephant random walk
by: Tokumitsu, Go
Published: (2025)

Some central limit theorems for critical beta-splitting tree
by: Iksanov, Alexander, et al.
Published: (2025)

Estimates of transport distance in the central limit theorem
by: Zaitsev, Andrei Yu.
Published: (2025)