David J. Aldous

collaborators

3 papers

math.PR2024

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 $n$ -leaf rooted tree, clades are recursively split into sub-clades, and a clade of $m$ leaves is split into sub-clades containing $…

math.PR2024

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 $n$ -leaf rooted tree, clades are recursively split into sub-clades, and a clade of $m$ leaves is split into sub-clades containing $…

math.PR2024

The Harmonic Descent Chain

David J. Aldous, Svante Janson, Xiaodan Li

The decreasing Markov chain on \{1,2,3, \ldots\} with transition probabilities $p (j, j - i) \propto 1/ i$ arises as a key component of the analysis of the beta-splitting random tree mo…