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• W2567790165 abstract "We study two dimensional massless field in a box with potential $Vleft( nabla phi left( cdot right) right) $ and zero boundary condition, where $V$ is any symmetric and uniformly convex function. Naddaf-Spencer and Miller proved the macroscopic averages of this field converge to a continuum Gaussian free field. In this paper we prove the distribution of local marginal $phi left( xright) $, for any $x$ in the bulk, has a Gaussian tail. We further characterize the leading order of the maximum and dimension of high points of this field, thus generalize the results of Bolthausen-Deuschel-Giacomin and Daviaud for the discrete Gaussian free field." @default.
• W2567790165 created "2017-01-13" @default.
• W2567790165 creator A5062074756 @default.
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• W2567790165 date "2016-10-13" @default.
• W2567790165 modified "2023-10-18" @default.
• W2567790165 title "Maximum of the Ginzburg-Landau fields" @default.
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• W2567790165 doi "https://doi.org/10.48550/arxiv.1610.04195" @default.
• W2567790165 hasPublicationYear "2016" @default.
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