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We study the local structure of the extremal process associated with the Discrete Gaussian Free Field (DGFF) in scaled-up (square-)lattice versions of bounded open planar domains subject to mild regularity conditions on the boundary.
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M. Bramson and O. Zeitouni (2011). Tightness of the recentered maximum of the two-dimensional discrete Gaussian free field. Commun. Pure Appl. Math
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