Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent

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Combinatorial Stochastic Processes (2006, background): “The answer, given in [21], is yes, there are rather a lot of them, but the extreme ones can all be constructed by a natural generalization of the construction of the standard additive coalescent considered in the next section.”
Limit Distributions and Random Trees Derived from the Birthday Problem with Unequal Probabilities (2000, methodology): “See Aldous-Pitman [4] for the study of various distributional properties of the limiting ICRT T , and Aldous-Pitman [5] for the application of this ICRT to the study of a coalescent process.”
Self-similar fragmentations derived from the stable tree II: splitting at nodes (2004, methodology): “Here, rather than adding a drift, which by analogy between [4] and [7] amounts to cut the skeleton of a continuum random tree with a homogeneous Poisson process, we will perform a “removing the jumps” operation analog to our inhomogeneous cutting on the hubs of the tree.”
Self-similar fragmentations derived from the stable tree I (2003, background): “The recent advances in the study of coalescence and fragmentation processes pointed at the key role played by tree structures in this topic, both at the discrete and continuous level [15, 3, 4 ]. Our goal here is to push further the investigation, begun in [3, 9], of a category of fragmentations ob”