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- W2317564501 abstract "We introduce and study a novel type of first-passage percolation problem on where the associated first-passage time measures the density of interface between two types of sites. If the types, designated + and –, are independently assigned their values with probability p and (1 — p ) respectively, we show that the density of interface is non-zero provided that both species are subcritical with regard to percolation, i.e. p c > p > 1 – p c . Furthermore, we show that as p ↑ p c or p ↓ (1 – p c ), the interface density vanishes with scaling behavior identical to the correlation length of the site percolation problem." @default.
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- W2317564501 date "1993-12-01" @default.
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- W2317564501 title "The density of interfaces: a new first-passage problem" @default.
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- W2317564501 doi "https://doi.org/10.1017/s0021900200044612" @default.
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