Asymptotic expansions in $n^{-1}$ for percolation critical values on the $n$-cube and $\mathbb{Z}^n$

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dc.creatorvan der Hofstad, Remco
dc.creatorSlade, Gordon
dc.date2004-01-08
dc.date.accessioned2026-07-07T05:04:26Z
dc.date.available2026-07-07T05:04:26Z
dc.descriptionWe use the lace expansion to prove that the critical values for nearest-neighbour bond percolation on the $n$-cube $\{0,1\}^n$ and on $\mathbb{Z}^n$ have asymptotic expansions, with rational coefficients, to all orders in powers of $n^{-1}$.
dc.description26 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0401073
dc.identifierhttp://arxiv.org/abs/math/0401073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69801
dc.subjectProbability
dc.subjectCombinatorics
dc.subject05C80, 60K35, 82B43
dc.titleAsymptotic expansions in $n^{-1}$ for percolation critical values on the $n$-cube and $\mathbb{Z}^n$
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