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- W2963410242 abstract "We consider the Gaussian free field on $Z^d$, $dgeq3$, and prove that the critical density for percolation of its level sets behaves like $1/d^{1+o(1)}$ as $d$ tends to infinity. Our proof gives the principal asymptotic behavior of the corresponding critical level $h_*(d)$. Moreover, it shows that a related parameter $h_{**}(d)$ introduced by Rodriguez and Sznitman in [23] is in fact asymptotically equivalent to $h_*(d)$." @default.
- W2963410242 created "2019-07-30" @default.
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- W2963410242 date "2015-01-01" @default.
- W2963410242 modified "2023-10-18" @default.
- W2963410242 title "High-dimensional asymptotics for percolation of Gaussian free field level sets" @default.
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- W2963410242 doi "https://doi.org/10.1214/ejp.v20-3416" @default.
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