Local picture and level-set percolation of the Gaussian free field on a large discrete torus

Angelo Abächerli

Stochastic Processes and their Applications, 2019, vol. 129, issue 9, 3527-3546

Abstract: In this article we obtain for d≥3 an approximation of the zero-average Gaussian free field on the discrete d-dimensional torus of large side length N by the Gaussian free field on Zd, valid in boxes of roughly side length N−Nδ with δ∈(1∕2,1).

Keywords: Gaussian free field; Local picture; Level-set percolation; Discrete torus (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:129:y:2019:i:9:p:3527-3546

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DOI: 10.1016/j.spa.2018.09.017

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