The Hausdorff measure of stable trees

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dc.creatorDuquesne, Thomas
dc.creatorGall, Jean-Francois Le
dc.date2005-09-29
dc.date.accessioned2026-07-07T06:23:22Z
dc.date.available2026-07-07T06:23:22Z
dc.descriptionWe study fine properties of the so-called stable trees, which are the scaling limits of critical Galton-Watson trees conditioned to be large. In particular we derive the exact Hausdorff measure function for Aldous' continuum random tree and for its level sets. It follows that both the uniform measure on the tree and the local time measure on a level set coincide with certain Hausdorff measures. Slightly less precise results are obtained for the Hausdorff measure of general stable trees.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0509690
dc.identifierhttp://arxiv.org/abs/math/0509690
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96208
dc.subjectProbability
dc.titleThe Hausdorff measure of stable trees
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