Asymptotically normal distribution of some tree families relevant for phylogenetics, and of partitions without singletons

Eva Czabarka, Peter L. Erdos, Virginia Johnson +2

P.L. Erdos and L.A. Szekely [Adv. Appl. Math. 10(1989), 488-496] gave a bijection between rooted semilabeled trees and set partitions. L.H. Harper's results [Ann. Math. Stat. 38(19…