Maximum of the integer-valued Gaussian free field

2019/07/20 by Mateo Wirth, Wirth, Mateo · 3 citations
Economics, Econometrics and Finance · Mathematics · #82B20 #82B41 #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1907.08868

openalex publication_date 2019/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the order of the maximum of the integer-valued Gaussian free field in two dimensions, and show that it grows logarithmically with the size of the box. Our treatment follows closely that of a recent paper by Kharash and Peled on the Fröhlich-Spencer proof of the Berezinskii-Kosterlitz-Thouless transition.

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• Statistical reconstruction of the Gaussian free field and KT transition
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