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- W2996316594 abstract "We consider independent anisotropic bond percolation on $mathbb{Z}^dtimes mathbb{Z}^s$ where edges parallel to $mathbb{Z}^d$ are open with probability $p<p_c(mathbb{Z}^d)$ and edges parallel to $mathbb{Z}^s$ are open with probability $q$, independently of all others. We prove that percolation occurs for $qgeq 8d^2(p_c(mathbb{Z}^d)-p)$. This fact implies that the so-called Dimensional Crossover critical exponent, if it exists, is greater than 1. In particular, using known results, we conclude the proof that, for $dgeq 11$, the crossover critical exponent exists and equals 1." @default.
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- W2996316594 date "2020-11-04" @default.
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- W2996316594 title "A note on the dimensional crossover critical exponent" @default.
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- W2996316594 doi "https://doi.org/10.1007/s11005-020-01336-3" @default.
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