A note on the extremal process of the supercritical Gaussian free field
- Chiarini, Alberto
- Cipriani, Alessandra
- Hazra, Rajat Subhra
2010 Mathematics Subject Classification
- 60G15 60G30 60G55 60G70 82B41
- Gaussian free field, Poisson approximation, point processes, extremal process, Stein--Chen method
We consider both the infinite-volume discrete Gaussian Free Field (DGFF) and the DGFF with zero boundary conditions outside a finite boxin dimension larger or equal to 3. We show that the associated extremal process converges to a Poisson point process. The result follows from an application of the Stein-Chen method from Arratia et al. (1989).
- Electron. Comm. Probab., 20 (2015) pp. 74/1--74/10.