Three central limit theorems for the unbounded excursion component of a Gaussian field
Abstract
For a smooth, stationary Gaussian field f on Euclidean space with fast correlation decay, there is a critical level ℓc such that the excursion set {f≥ℓ} contains a (unique) unbounded component if and only if ℓ
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Stochastic processes and statistical mechanics
Publication details
- Journal / source
- The Annals of Applied Probability
- Volume
- 36
- Issue
- 1
- Publication date
- 1 February 2026
- Language
- EN