A phase transition for the heights of a fragmentation tree

Abstract : We provide information about the asymptotic regimes for a homogeneous fragmentation of a finite set. We establish a phase transition for the asymptotic behaviours of the shattering times, defined as the first instants when all the blocks of the partition process have cardinality less than a fixed integer. Our results may be applied to the study of certain random split trees.
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Preprints, Working Papers, ...
2009
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https://hal.archives-ouvertes.fr/hal-00386468
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Submitted on : Thursday, May 21, 2009 - 5:12:15 PM
Last modification on : Monday, May 29, 2017 - 2:25:25 PM
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  • HAL Id : hal-00386468, version 1
  • ARXIV : 0905.3545

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Adrien Joseph. A phase transition for the heights of a fragmentation tree. 2009. <hal-00386468>

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