Research outputs

Preprints

1. Limit theorems for the number of sign and level-set clusters of the Gaussian free field
   Submitted
   Michael McAuley, Stephen Muirhead
   Preprint
2. Three central limit theorems for the unbounded excursion component of a Gaussian field
   Submitted
   Michael McAuley
   Preprint
3. Conformal welding of independent Gaussian multiplicative chaos measures
   Submitted
   Antti Kupiainen, Michael McAuley, Eero Saksman
   Preprint
4. HLAfreq: Download and combine HLA allele frequency data
   Michael McAuley, David Wells
   Preprint

Publications

1. A covariance formula for the number of excursion set components of Gaussian fields and applications
   Annales de l'Institut Henri Poincaré (2025)
   Dmitry Beliaev, Michael McAuley, Stephen Muirhead
   Published PDF, Published version, Preprint
2. A central limit theorem for the number of excursion set components of Gaussian fields
   Annals of Probability (2024)
   Dmitry Beliaev, Michael McAuley, Stephen Muirhead
   Published PDF, Published version, Preprint
3. Fluctuations of the number of excursion sets of planar Gaussian fields
   Probability and Mathematical Physics (2022)
   Dmitry Beliaev, Michael McAuley, Stephen Muirhead
   Published PDF, Published version, Preprint
4. Smoothness and monotonicity of the excursion set density of planar Gaussian fields
   Electronic Journal of Probability (2020)
   Dmitry Beliaev, Michael McAuley, Stephen Muirhead
   Published version (open access)
5. On the number of excursion sets of planar Gaussian fields
   Probability Theory and Related Fields (2020)
   Dmitry Beliaev, Michael McAuley, Stephen Muirhead
   Published version (open access)

PhD thesis

Excursion sets of planar Gaussian fields
Michael McAuley
Final version (open access)