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• W3036057527 abstract "We study level-set percolation for Gaussian free fields on metric graphs. In two dimensions, we give an upper bound on the chemical distance between the two boundaries of a macroscopic annulus. Our bound holds with high probability conditioned on connectivity and is sharp up to a poly-logarithmic factor with an exponent of one-quarter. This substantially improves a previous result by Li and the first author. In three dimensions and higher, we provide rather precise estimates of percolation probabilities in different regimes which altogether describe a sharp phase transition." @default.
• W3036057527 created "2020-06-25" @default.
• W3036057527 creator A5065050602 @default.
• W3036057527 creator A5071559944 @default.
• W3036057527 date "2020-05-01" @default.
• W3036057527 modified "2023-09-25" @default.
• W3036057527 title "Percolation for level-sets of Gaussian free fields on metric graphs" @default.
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• W3036057527 doi "https://doi.org/10.1214/19-aop1397" @default.
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