A -cluster is an isolated group of adjacent (i.e., horizontally or vertically
connected) 1s. Consider a random (0,1)-matrix whose entries
are 1 (with probability )
or 0 (with probability ),
with numbers assigned to the edges of a grid. Let be the total number of "bond"
clusters, then
Finch, S. R. "Percolation Cluster Density Constants." §5.18 in Mathematical
Constants. Cambridge, England: Cambridge University Press, pp. 371-378,
2003.Sloane, N. J. A. Sequence A086269
in "The On-Line Encyclopedia of Integer Sequences."Ziff, R. M.;
Finch, S. R.; and Adamchik, V. S. "Universality of Finite-Sized Corrections
to the Number of Critical Percolation Clusters." Phys. Rev. Let.79,
3447-3450, 1997.
-cluster is an isolated group of 
adjacent (i.e., horizontally or vertically
connected) 1s. Consider a random 
(0,1)-matrix whose entries
are 1 (with probability 
)
or 0 (with probability 
),
with numbers assigned to the edges of a grid. Let 
be the total number of "bond"
clusters, then
,
