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arXiv:1301.6669 [math.PR]AbstractReferencesReviewsResources

Convergence in law of the maximum of the two-dimensional discrete Gaussian free field

Maury Bramson, Jian Ding, Ofer Zeitouni

Published 2013-01-28, updated 2014-10-06Version 3

We consider the 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 recentered maximum of the field.

Comments: 44 pages, 2 figures. Added in revision Theorem 2.5 (alternative description of limit law), various minor corrections, and many explanations and additional details
Categories: math.PR
Subjects: 60G15, 60G60, 60G70
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