David J. Aldous

most citedThe Critical Beta-splitting Random Tree IV: Mellin analysis of Leaf Height

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

math.PR2024★ 1 cited

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…

math.PR2024

Markov chains and mappings of distributions on compact spaces

David J. Aldous, Shi Feng

Consider a compact metric space $S$ and a pair $(j, k)$ with $k \geq 2$ and $1 \leq j \leq k$ . For any probability distribution $θ \in P (S)$ , define a Markov chain on $S$ by: from state…

math.PR2024

Markov chains and mappings of distributions on compact spaces II: Numerics and Conjectures

David J. Aldous, Madelyn Cruz, Shi Feng

Consider a compact metric space $S$ and a pair $(j, k)$ with $k \geq 2$ and $1 \leq j \leq k$ . For any probability distribution $θ \in P (S)$ , define a Markov chain on $S$ by: from state…

math.PR2024

The distance problem on measured metric spaces

David J. Aldous, Guillaume Blanc, Nicolas Curien

What distributions arise as the distribution of the distance between two typical points in some measured metric space? This seems to be a surprisingly subtle problem. We conjecture…