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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.

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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.)


          Perc
          (Image from Massimo Franceshetti.)


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    $\begingroup$ This (the image) looks like site percolation, but the reference is still relevant. $\endgroup$
    – Bach
    Commented May 2, 2018 at 13:09
  • $\begingroup$ @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

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