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2011 Recursions and tightness for the maximum of the discrete, two dimensional Gaussian Free Field
Erwin Bolthausen, Jean-Dominique Deuschel, Ofer Zeitouni
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Electron. Commun. Probab. 16: 114-119 (2011). DOI: 10.1214/ECP.v16-1610

Abstract

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.

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Erwin Bolthausen. Jean-Dominique Deuschel. Ofer Zeitouni. "Recursions and tightness for the maximum of the discrete, two dimensional Gaussian Free Field." Electron. Commun. Probab. 16 114 - 119, 2011. https://doi.org/10.1214/ECP.v16-1610

Information

Accepted: 16 February 2011; Published: 2011
First available in Project Euclid: 7 June 2016

zbMATH: 1236.60039
MathSciNet: MR2772390
Digital Object Identifier: 10.1214/ECP.v16-1610

Subjects:
Primary: 60G15
Secondary: 60G60

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