Michael McAuley

most citedInteractive Mars Image Content-Based Search with Interpretable Machine Learning

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math.PR2026

Limit theorems for non-local functionals of smooth Gaussian fields via quasi-association

Michael McAuley

Many classical objects of study related to the geometry/topology of smooth Gaussian fields (e.g., the volume, surface area or Euler characteristic of excursion sets) have a `locali…

math.PR2026

Three central limit theorems for the unbounded excursion component of a Gaussian field

Michael McAuley

For a smooth, stationary Gaussian field $f$ on Euclidean space with fast correlation decay, there is a critical level $ℓ_{c}$ such that the excursion set ${f \geq ℓ}$ contains…

math.PR2025

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

Michael McAuley, Stephen Muirhead

We study the limiting fluctuations of the number of sign and level-set clusters of the Gaussian free field on $Z^{d}$ , $d \geq 3$ , that are contained in a large domain. In di…