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Sizes of the largest clusters for supercritical percolation on random recursi...
We consider Bernoulli bond-percolation on a random recursive tree of size $n\gg 1$, with supercritical parameter $p(n)=1-t/\ln n + o(1/\ln n)$ for some $t>0$ fixed.... -
On the non-Gaussian fluctuations of the giant cluster for percolation on rand...
We consider a Bernoulli bond percolation on a random recursive tree of size $n\gg 1$, with supercritical parameter $p_n=1-c/\ln n$ for some $c>0$ fixed. It is known... -
The cut-tree of large recursive trees
Imagine a graph which is progressively destroyed by cutting its edges one after the other in a uniform random order. The so-called cut-tree records key steps of this...
