Would appreciate references to the most up-to-date results for the structure of bond percolation on the (finite) 2D-grid in the sub-critical regime (e.g, $p=1/10$). Thank you.
1 Answer
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(Image from Massimo Franceshetti.)
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Perhaps this is a place to start, from which to search forward in time:
Grimmett, Geoffrey. Percolation. Springer, Berlin, Heidelberg, 1999. (Springer link.)
(Image from Massimo Franceshetti.)
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1$\begingroup$ This (the image) looks like site percolation, but the reference is still relevant. $\endgroup$– BachCommented May 2, 2018 at 13:09
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$\begingroup$ @Bach: Good point. To quote D. Genin: "Every bond percolation problem can be realized as a site percolation problem (on a different graph)." $\endgroup$ Commented May 2, 2018 at 13:29