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arxiv: 1301.6669 · v5 · pith:5PBEQVA4new · submitted 2013-01-28 · 🧮 math.PR

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

classification 🧮 math.PR
keywords fieldconvergencefreegaussianmaximumtwo-dimensionalboundaryconsider
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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.

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