3 papers
math.PR2025
The Critical Beta-splitting Random Tree II: Overview and Open Problems
David J. Aldous, Svante Janson
In the critical beta-splitting model of a random -leaf rooted tree, clades are recursively (from the root) split into sub-clades, and a clade of leaves is split into sub-cla…
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 -leaf rooted tree, clades are recursively split into sub-clades, and a clade of 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 -leaf rooted tree, clades are recursively split into sub-clades, and a clade of leaves is split into sub-clades containing $…