2 citations · 3 across the 5 of their papers we have counts for
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The Critical Beta-splitting Random Tree IV: Mellin analysis of Leaf Height
David Aldous, Svante Janson
In the critical beta-splitting model of a random -leaf rooted tree, clades are recursively split into sub-clades, and a clade of leaves is split into sub-clades containing $…
The Critical Beta-splitting Random Tree III: The exchangeable partition representation and the fringe tree
David J. Aldous, Svante Janson
In the critical beta-splitting model of a random -leaf rooted tree, clades are recursively split into sub-clades, and a clade of leaves is split into sub-clades containing $…
Periodic minimum in the count of binomial coefficients not divisible by a prime
Hsien-Kuei Hwang, Svante Janson, Tsung-Hsi Tsai
The summatory function of the number of binomial coefficients not divisible by a prime is known to exhibit regular periodic oscillations, yet identifying the less regularly behaved…
The Harmonic Descent Chain
David J. Aldous, Svante Janson, Xiaodan Li
The decreasing Markov chain on \{1,2,3, \ldots\} with transition probabilities arises as a key component of the analysis of the beta-splitting random tree mo…