文章基本信息

标题：Recursions and tightness for the maximum of the discrete, two dimensional Gaussian Free Field
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作者：Bolthausen, Erwin ; Deuschel, Jean-Dominique ; Zeitouni, Ofer 等
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2011
卷号：16
页码：114-119
DOI：10.1214/ECP.v16-1610
出版社：Electronic Communications in Probability
摘要：We consider the maximum of the discrete two dimensional Gaussian free field in a box, and prove the existence of a (dense) deterministic subsequence along which the maximum, centered at its mean, is tight. The method of proof relies on an argument developed by Dekking and Host for branching random walks with bounded increments and on comparison results specific to Gaussian fields.
关键词：Gaussian free field. Recursions.;60G15, 60G60