s-Run
N.B. A detailed on-line essay by S. Finchwas the starting point for this entry.
Let 
be a 
-Vector whose entries are each 1 (with probability 
) or 0 (with probability 
).An 
-run is an isolated group of consecutive 1s. Ignoring the boundaries, the total number of runs 
satisfies
so
which is called the Mean Run Count Per Site or Mean Run Density in Percolation Theory.See also Percolation Theory, s-Cluster
References
Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/rndprc/rndprc.html
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