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Cipriani, Alessandra [Author]; Hazra, Rajat Subhra [Author]; Chiarini, Alberto [Author]

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

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  • Media type: E-Article; Text
  • Title: A note on the extremal process of the supercritical Gaussian Free Field
  • Contributor: Cipriani, Alessandra [Author]; Hazra, Rajat Subhra [Author]; Chiarini, Alberto [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2015
  • Language: English
  • DOI: https://doi.org/10.1214/ecp.v20-4332
  • Keywords: article ; Gaussian free field -- Poisson approximation -- point processes -- extremal process -- Stein--Chen method
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: 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).