2 citations · 3 across the 5 of their papers we have counts for
5 papers · 1 filter
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 $…
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…
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…
Asymptotic normality for -dependent and constrained -statistics, with applications to pattern matching in random strings and permutations
Svante Janson
We study (asymmetric) -statistics based on a stationary sequence of -dependent variables; moreover, we consider constrained -statistics, where the defining multiple sum on…