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2024-03-11 08:39:02

This https://arxiv.org/abs/2208.01033 has been replaced.
link: https://scholar.google.com/scholar?q=a

Generating Galton-Watson trees using random walks and percolation for the Gaussian free field
The study of Gaussian free field level sets on supercritical Galton-Watson trees has been initiated by Abächerli and Sznitman in Ann. Inst. Henri Poincaré Probab. Stat., 54(1):173--201, 2018. By means of entirely different tools, we continue this investigation and generalize their main result on the positivity of the associated percolation critical parameter $h_*$ to the setting of arbitrary supercritical offspring distribution and random conductances. A fortiori, this provides a positive ans…