most recent 30 from http://mathoverflow.net 2013-06-19T20:12:05Z http://mathoverflow.net/feeds/question/98583 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/98583/percolation-on-infinite-percolation-clusters Ed 2012-06-01T16:23:16Z 2012-06-01T18:47:09Z

<p>Let's consider an infinite percolation cluster $\mathcal{C}_p$ that takes shape in the supercritical phase ($p>p_c$) of a bond percolation in $\mathbb{Z}^d$. What could be said about a bond percolation on $\mathcal{C}_p$ parametrized by $p$ (or parametrized by a $q\ne p$)? Phase caracterizations? Critical values $q_c=f(p)$? Number of infinite clusters if any?</p>