Projects per year
Personal profile
Research area keywords
- Probability theory
- Percolation theory
- Stochastic processes
- Stochastic geometry
Projects
- 1 Active
-
Percolation models with strong and oscillatory correlations
Muirhead, S. (Primary Chief Investigator (PCI))
ARC - Australian Research Council, Monash University
30/06/25 → 29/06/29
Project: Research
Research output
- 32 Article
-
A covariance formula for the number of excursion set components of Gaussian fields and applications
Beliaev, D., McAuley, M. & Muirhead, S., Feb 2025, In: Annales de l'institut Henri Poincare (B) Probability and Statistics. 61, 1, p. 713-745 33 p.Research output: Contribution to journal › Article › Research › peer-review
1 Citation (Scopus) -
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration
Muirhead, S. & Wigman, I., 18 Mar 2025, (Accepted/In press) In: Probability Theory and Related Fields. 74 p., 114102.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
A central limit theorem for the number of excursion set components of Gaussian fields
Beliaev, D., Mcauley, M. & Muirhead, S., May 2024, In: Annals of Probability. 52, 3, p. 882-922 41 p.Research output: Contribution to journal › Article › Research › peer-review
3 Citations (Scopus) -
Percolation of strongly correlated Gaussian fields, I: Decay of subcritical connection probabilities
Muirhead, S. & Severo, F., 2024, In: Probability and Mathematical Physics. 5, 2, p. 357-412 56 p.Research output: Contribution to journal › Article › Research › peer-review
3 Citations (Scopus) -
Percolation of strongly correlated Gaussian fields II. Sharpness of the phase transition
Muirhead, S., May 2024, In: Annals of Probability. 52, 3, p. 838-881 44 p.Research output: Contribution to journal › Article › Research › peer-review
3 Citations (Scopus)