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- W3100478106 abstract "Consider an independent bond percolation model on the $$d$$ -dimensional hypercubic lattice, $$dgeqslant 2$$ , with parameter $$p$$ . We show that the two point connectivity function $$P_{p}({(0,ldots ,0)leftrightarrow (n,0,ldots ,0)})$$ is a monotone function in $$n$$ when the parameter $$p$$ is close enough to 0. Analogously, we show that the truncated connectivity function $$P_{p}({(0,ldots ,0)leftrightarrow (n,0,ldots ,0), (0,ldots ,0)nleftrightarrow infty })$$ is also a monotone function in $$n$$ when $$p$$ is close to 1." @default.
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- W3100478106 date "2015-05-23" @default.
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- W3100478106 title "A Remark on Monotonicity in Bernoulli Bond Percolation" @default.
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- W3100478106 doi "https://doi.org/10.1007/s10955-015-1284-z" @default.
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