Finite Size Percolation in Regular Trees

Details Finite Size Percolation in Regular Trees Finite Size Percolation in Regular Trees

2010-07-26

arxiv.org/abs/1007.4508v1

Mathematics

Probability

Scientific paper

In the context of percolation in a regular tree, we study the size of the
largest cluster and the length of the longest run starting within the first d
generations. As d tends to infinity, we prove almost sure and weak convergence
results.

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