A note on the extremal process of the supercritical Gaussian Free Field
classification
🧮 math.PR
keywords
processdgffextremalfieldfreegaussianapplicationarratia
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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).
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