Strong Law of Large Numbers for Fragmentation Processes

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dc.creatorHarris, S. C.
dc.creatorKnobloch, R.
dc.creatorKyprianou, A. E.
dc.date2008-09-17
dc.date.accessioned2026-07-07T10:03:31Z
dc.date.available2026-07-07T10:03:31Z
dc.descriptionIn the spirit of a classical results for Crump-Mode-Jagers processes, we prove a strong law of large numbers for homogenous fragmentation processes. Specifically, for self-similar fragmentation processes, including homogenous processes, we prove the almost sure convergence of an empirical measure associated with the stopping line corresponding to first fragments of size strictly smaller than $η$ for $1\geq η>0$.
dc.identifierhttps://arxiv.org/abs/0809.2958
dc.identifierhttp://arxiv.org/abs/0809.2958
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169318
dc.subjectProbability
dc.subject60J25, 60G09
dc.titleStrong Law of Large Numbers for Fragmentation Processes
dc.typetext

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