A note on the extremal process of the supercritical Gaussian Free Field

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

Full text not available from this repository.

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

Repository Staff Only: item control page