243 citations · 678 across the 45 of their papers we have counts for
51 papers
Gambling under unknown probabilities as a proxy for real world decisions under uncertainty
David J. Aldous, F. Thomas Bruss
We give elementary examples within a framework for studying decisions under uncertainty where probabilities are only roughly known. The framework, in gambling terms, is that the si…
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…
The Critical Beta-splitting Random Tree: Heights and Related Results
David Aldous, Boris Pittel
In the critical beta-splitting model of a random -leaf binary tree, leaf-sets are recursively split into subsets, and a set of leaves is split into subsets containing an…
Parking on the infinite binary tree
David Aldous, Alice Contat, Nicolas Curien +1
Let be i.i.d.~non-negative integers that we interpret as car arrivals on the vertices of the full binary tree . Each car tries to park on it…
A Real-World Markov Chain arising in Recreational Volleyball
David J. Aldous, Madelyn Cruz
Card shuffling models have provided simple motivating examples for the mathematical theory of mixing times for Markov chains. As a complement, we introduce a more intricate realist…
Route Lengths in Invariant Spatial Tree Networks
David J. Aldous
Is there a constant such that, in any invariant tree network linking rate- Poisson points in the plane, the mean within-network distance between points at Euclidean distan…