Chiarini, Alberto ; Cipriani, Alessandra ; Hazra, Rajat (2015) A note on the extremal process of the supercritical Gaussian Free Field Electronic Communications in Probability, 20 . pp. 1-10. ISSN 1083-589X
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Official URL: http://doi.org/10.1214/ECP.v20-4332
Related URL: http://dx.doi.org/10.1214/ECP.v20-4332
Abstract
We consider both the infinite-volume discrete Gaussian Free Field (DGFF) and the DGFF with zero boundary conditions outside a finite box in 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).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Mathematical Statistics. |
| Keywords: | Discrete Gaussian Free Field; Extremal Process; Poisson Process Approximation; Stein-Chen Method. |
| ID Code: | 121027 |
| Deposited On: | 08 Jul 2021 11:34 |
| Last Modified: | 08 Jul 2021 11:34 |
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