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math.PR2026
Large fringe trees for random trees with given vertex degrees
Gabriel Berzunza Ojeda, Cecilia Holmgren, Svante Janson
This paper extends the study of fringe trees in random plane trees with a given degree statistic. While previous work established the asymptotic normality of the count of fringe tr…
math.PR2026
Fringe subtrees of split trees and fractional split trees
Cecilia Holmgren, Jasper Ischebeck, Svante Janson
We consider additive functionals with small toll functions on split trees and a generalization of split trees, which we call fractional split trees, where the split vector…