Extremes of the supercritical Gaussian Free Field

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Date

2015

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Cambridge : arXiv

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http://arxiv.org/abs/1504.07819

Abstract

We show that the rescaled maximum of the discrete Gaussian Free Field (DGFF) in dimension larger or equal to 3 is in the maximal domain of attraction of the Gumbel distribution. The result holds both for the infinite-volume field as well as the field with zero boundary conditions. We show that these results follow from an interesting application of the Stein-Chen method from Arratia et al. (1989).

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Probability

Keywords GND

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Report

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publishedVersion

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https://oa.tib.eu/renate/handle/123456789/3391

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Mathematik

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