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math.PR2020
Invariance principle for fragmentation processes derived from conditioned stable Galton-Watson trees
Gabriel Berzunza Ojeda, Cecilia Holmgren
Aldous, Evans and Pitman (1998) studied the behavior of the fragmentation process derived from deleting the edges of a uniform random tree on labelled vertices. In particular,…
math.PR2020
The asymptotic distribution of cluster sizes for supercritical percolation on random split trees
Gabriel Berzunza, Cecilia Holmgren
We consider the model of random trees introduced by Devroye (1999), the so-called random split trees. The model encompasses many important randomized algorithms and data structures…