Convergence in Law of the Maximum of the Two-Dimensional Discrete Gaussian Free Field

Maury Bramson; Jian Ding; Ofer Zeitouni

doi:10.1002/cpa.21621

Convergence in Law of the Maximum of the Two-Dimensional Discrete Gaussian Free Field

Maury Bramson, Jian Ding, Ofer Zeitouni

School of Mathematics

Research output: Contribution to journal › Article › peer-review

76 Scopus citations

Abstract

We consider the discrete two-dimensional Gaussian free field on a box of side length $N$, with Dirichlet boundary data, and prove the convergence of the law of the centered maximum of the field.

Original language	English (US)
Pages (from-to)	62-123
Number of pages	62
Journal	Communications on Pure and Applied Mathematics
Volume	69
Issue number	1
DOIs	https://doi.org/10.1002/cpa.21621
State	Published - Jan 2016

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© 2015 Wiley Periodicals, Inc.

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abstract = "We consider the discrete two-dimensional Gaussian free field on a box of side length \$N\$, with Dirichlet boundary data, and prove the convergence of the law of the centered maximum of the field.",

author = "Maury Bramson and Jian Ding and Ofer Zeitouni",

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year = "2016",

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N2 - We consider the discrete two-dimensional Gaussian free field on a box of side length $N$, with Dirichlet boundary data, and prove the convergence of the law of the centered maximum of the field.

AB - We consider the discrete two-dimensional Gaussian free field on a box of side length $N$, with Dirichlet boundary data, and prove the convergence of the law of the centered maximum of the field.

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Convergence in Law of the Maximum of the Two-Dimensional Discrete Gaussian Free Field

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