83 citations · 177 across the 5 of their papers we have counts for
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Self-similar fragmentations derived from the stable tree II: splitting at nodes
Gregory Marc Miermont
We study a natural fragmentation process of the so-called stable tree introduced by Duquesne and Le Gall, which consists in removing the nodes of the tree according to a certain pr…
Self-similar fragmentations derived from the stable tree I: splitting at heights
Gregory Marc Miermont
The basic object we consider is a certain model of continuum random tree, called the stable tree. We construct a fragmentation process out of this tree by removing…
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]…
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…
The genealogy of self-similar fragmentations with negative index as a continuum random tree
Benedicte Haas, Gregory Miermont
We encode a certain class of stochastic fragmentation processes, namely self-similar fragmentation processes with a negative index of self-similarity, into a metric family tree whi…