Extremes of some Gaussian random interfaces
- Chiarini, Alberto
- Cipriani, Alessandra
- Hazra, Rajat Subhra
2010 Mathematics Subject Classification
- 60K35 60G15 60G70
- Extreme value theory, Gaussian random interfaces, Stein-Chen method
In this article we give a general criterion for some dependent Gaussian models to belong to maximal domain of attraction of Gumbel, following an application of the Stein-Chen method studied in citeAGG. We also show the convergence of the associated point process. As an application, we show the conditions are satisfied by some of the well-known supercritical Gaussian interface models, namely, membrane model, massive and massless discrete Gaussian free field, fractional Gaussian free field.
- J. Statist. Phys., 165 (2016) pp. 521--544.