Philippe Marchal
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A note on the fragmentation of a stable tree
dmtcs:3586 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2008,
DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science
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https://doi.org/10.46298/dmtcs.3586
A note on the fragmentation of a stable treeArticle
Authors: Philippe Marchal 1
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Philippe Marchal
1 Département de Mathématiques et Applications - ENS Paris
We introduce a recursive algorithm generating random trees, which we identify as skeletons of a continuous, stable tree. We deduce a representation of a fragmentation process on these trees.
G. Miermont;B. Haas;J. Pitman;M. Winkel, 2008, Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models, Annals of probability, 36, 5, 10.1214/07-aop377, https://doi.org/10.1214/07-aop377.