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  • 标题:A note on the extremal process of the supercritical Gaussian Free Field
  • 本地全文:下载
  • 作者:Chiarini, Alberto ; Cipriani, Alessandra ; Hazra, Rajat Subhra
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2015
  • 卷号:20
  • 期号:0
  • 页码:1-10
  • DOI:10.1214/ECP.v20-4332
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要: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).
  • 关键词:Discrete Gaussian Free Field; Stein-Chen method; extremal process; Poisson process approximation;60G15; 60G30; 60G55; 60G57; 60G70; 82B41
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