THE EXACT PACKING MEASURE OF LEVY TREES

Abstract : We study fine properties of Lévy trees that are random compact metric spaces introduced by Le Gall and Le Jan in 1998 as the genealogy of continuous state branching processes. Lévy trees are the scaling limits of Galton-Watson trees and they generalize Aldous's continuum random tree which corresponds to the Brownian case. In this paper we prove that Lévy trees have always an exact packing measure: We explicitely compute the packing gauge function and we prove that the corresponding packing measure coincides with the mass measure up to a multiplicative constant.
Type de document :
Pré-publication, Document de travail
33 pages. 2010
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https://hal.archives-ouvertes.fr/hal-00527869
Contributeur : Thomas Duquesne <>
Soumis le : mercredi 20 octobre 2010 - 15:12:30
Dernière modification le : lundi 29 mai 2017 - 14:22:08
Document(s) archivé(s) le : vendredi 21 janvier 2011 - 02:45:39

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Thomas Duquesne. THE EXACT PACKING MEASURE OF LEVY TREES. 33 pages. 2010. <hal-00527869>

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