A note on the fragmentation of a stable tree

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.

Bibliographic Details
Main Author: Philippe Marchal
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2008-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3586/pdf
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author Philippe Marchal
author_facet Philippe Marchal
author_sort Philippe Marchal
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description 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.
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spelling doaj.art-bea723ea92bb48cb8f2a615983c41c242024-03-07T14:36:56ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502008-01-01DMTCS Proceedings vol. AI,...Proceedings10.46298/dmtcs.35863586A note on the fragmentation of a stable treePhilippe Marchal0Département de Mathématiques et Applications - ENS ParisWe 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.https://dmtcs.episciences.org/3586/pdfstable treefragmentation[info.info-dm] computer science [cs]/discrete mathematics [cs.dm][math.math-ds] mathematics [math]/dynamical systems [math.ds][math.math-co] mathematics [math]/combinatorics [math.co]
spellingShingle Philippe Marchal
A note on the fragmentation of a stable tree
Discrete Mathematics & Theoretical Computer Science
stable tree
fragmentation
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
[math.math-ds] mathematics [math]/dynamical systems [math.ds]
[math.math-co] mathematics [math]/combinatorics [math.co]
title A note on the fragmentation of a stable tree
title_full A note on the fragmentation of a stable tree
title_fullStr A note on the fragmentation of a stable tree
title_full_unstemmed A note on the fragmentation of a stable tree
title_short A note on the fragmentation of a stable tree
title_sort note on the fragmentation of a stable tree
topic stable tree
fragmentation
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
[math.math-ds] mathematics [math]/dynamical systems [math.ds]
[math.math-co] mathematics [math]/combinatorics [math.co]
url https://dmtcs.episciences.org/3586/pdf
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