41 citations · 57 across the 6 of their papers we have counts for
4 papers · 2 filters
A critical branching process model for biodiversity
David J. Aldous, Lea Popovic
Motivated as a null model for comparison with data, we study the following model for a phylogenetic tree on extant species. The origin of the clade is a random time in the past…
The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin's local time identity
David J Aldous, Gregory Miermont, Jim Pitman
We study the inhomogeneous continuum random trees (ICRT) that arise as weak limits of birthday trees. We give a description of the exploration process, a function defined on [0,1]…
Two recursive decompositions of Brownian bridge
David Aldous, Jim Pitman
Aldous and Pitman (1994) studied asymptotic distributions, as n tends to infinity, of various functionals of a uniform random mapping of a set of n elements, by constructing a mapp…
Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees
David J. Aldous, Gregory Miermont, Jim Pitman
We study the asymptotics of the -mapping model of random mappings on as gets large, under a large class of asymptotic regimes for the underlying distribution . We e…