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

  • Maury Bramson
  • , Jian Ding
  • , Ofer Zeitouni

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

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 languageEnglish (US)
Pages (from-to)62-123
Number of pages62
JournalCommunications on Pure and Applied Mathematics
Volume69
Issue number1
DOIs
StatePublished - Jan 2016

Bibliographical note

Publisher Copyright:
© 2015 Wiley Periodicals, Inc.

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