Continuous local time of a purely atomic immigration superprocess with dependent spatial motion

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dc.creatorLi, Zenghu
dc.creatorXiong, Jie
dc.date2008-02-07
dc.date.accessioned2026-07-07T09:19:14Z
dc.date.available2026-07-07T09:19:14Z
dc.descriptionA purely atomic immigration superprocess with dependent spatial motion in the space of tempered measures is constructed as the unique strong solution of a stochastic integral equation driven by Poisson processes based on the excursion law of a Feller branching diffusion, which generalizes the work of Dawson and Li (2003). As an application of the stochastic equation, it is proved that the superprocess possesses a local time which is Holder continuous of order $α$ for every $α< 1/2$. We establish two scaling limit theorems for the immigration superprocess, from which we derive scaling limits for the corresponding local time.
dc.identifierhttps://arxiv.org/abs/0802.0926
dc.identifierhttp://arxiv.org/abs/0802.0926
dc.identifierStochastic Analysis and Applications 25 (2007), 6: 1273-1296
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154318
dc.subjectProbability
dc.subjectStatistics Theory
dc.subject60J80, 60G57, 60H20
dc.titleContinuous local time of a purely atomic immigration superprocess with dependent spatial motion
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