Yule processes with rare mutation and their applications to percolation on $b$-ary trees
Yule processes with rare mutation and their applications to percolation on $b$-ary trees
We consider supercritical Bernoulli bond percolation on a large $b$-ary tree, in the sense that with high probability, there exists a giant cluster. We show that the size of the giant cluster has non-gaussian fluctuations, which extends a result due to Schweinsberg in the case of random recursive trees. Using …