• Media type: E-Book; Report; Text
  • Title: A note on the extremal process of the supercritical Gaussian free field
  • Contributor: Chiarini, Alberto [Author]; Cipriani, Alessandra [Author]; Hazra, Rajat Subhra [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2015
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.2111
  • Keywords: 82B41 ; Gaussian free field -- Poisson approximation -- point processes -- extremal process -- Stein--Chen method ; article ; 60G70 ; 60G30 ; 60G15 ; 60G55
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  • Description: We consider both the infinite-volume discrete Gaussian Free Field (DGFF) and the DGFF with zero boundary conditions outside a finite boxin 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).
  • Access State: Open Access