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2014 Tightness of the recentered maximum of log-correlated Gaussian fields
Javier Acosta
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Electron. J. Probab. 19: 1-25 (2014). DOI: 10.1214/EJP.v19-3170

Abstract

We consider a family of centered Gaussian fields on the d-dimensional unit box, whose covariance decreases logarithmically in the distance between points. We prove tightness of the recentered maximum of the Gaussian fields and provide exponentially decaying bounds on the right and left tails. We then apply this result to a version of the two-dimensional continuous Gaussian free field.

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Javier Acosta. "Tightness of the recentered maximum of log-correlated Gaussian fields." Electron. J. Probab. 19 1 - 25, 2014. https://doi.org/10.1214/EJP.v19-3170

Information

Accepted: 3 October 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1307.60034
MathSciNet: MR3272323
Digital Object Identifier: 10.1214/EJP.v19-3170

Subjects:
Primary: 60G15
Secondary: 60G60

JOURNAL ARTICLE
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Vol.19 • 2014
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