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

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Date

2015

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Cambridge : arXiv

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Link to publishers' Version

http://arxiv.org/abs/1505.05324

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).

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Keywords

Gaussian Free Field, Poisson approximation, point processes, extremal process, Stein-Chen method

Keywords GND

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Report

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publishedVersion

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https://oa.tib.eu/renate/handle/123456789/3450

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Mathematik

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