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oaioai:basepub.dauphine.fr:123456789/11182

General Fragmentation Trees

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Publication date
1 January 2013
Publisher
'Institute of Mathematical Statistics'
Doi

    Abstract

    We show that the genealogy of any self-similar fragmentation process can be encoded in a compact measured real tree. Under some Malthusian hypotheses, we compute the fractal Hausdorff dimension of this tree through the use of a natural measure on the set of its leaves. This generalizes previous work of Haas and Miermont which was restricted to conservative fragmentation processes.no

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    Last time updated on 09/07/2019

    This paper was published in Base de publications de l'université Paris-Dauphine.

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