BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-82-933 ENTRY:: June 01, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: An algorithmic method for studying percolation clusters TYPE:: Technical Report AUTHOR:: Klein, Shmuel T. AUTHOR:: Shamir, Eli DATE:: September 1982 PAGES:: 16 ABSTRACT:: In percolation theory one studies configurations, based on some infinite lattice, where the sites of the lattice are randomly made F (full) with probability p or E (empty) with probability 1-p. For p > $p_c$, the set of configurations which contain an infinite cluster (a connectivity component) has probability 1. Using an algorithmic method and a rearrangement lemma for Bernoulli sequences, we compute the boundary-to-body quotient of infinite clusters and prove it has the definite value (1-p)/p with probability 1. NOTES:: [Adminitrivia V1/Prg/19950601] END:: STAN//CS-TR-82-933