= Almost-subadditive percolation decay rate
{title2=$\lambda=-\lim_n n^{-1}\log\beta_n$}
For independent <bond percolation> of density $0<p<1$ on the <cubic lattice> in dimension $d\geq2$, let $\beta_n$ be the <one-arm probability> for reaching maximum-norm distance $n$. The <weighted BK boundary-splitting estimate> gives $\beta_{m+n}\leq|\partial\Lambda_n|\beta_m\beta_n$. Since the logarithm of this boundary size is $o(n)$, the <asymmetrically almost-subadditive sequence> argument applies to $\log\beta_n$. The rate exists and lies in $[0,-\log p]$; positive rate gives exponential decay.
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