Approximation of Hunt processes by multivariate Poisson processes

Citation
Zm. Ma et al., Approximation of Hunt processes by multivariate Poisson processes, ACT APPL MA, 63(1-3), 2000, pp. 233-243
Citations number
11
Categorie Soggetti
Mathematics
Journal title
ACTA APPLICANDAE MATHEMATICAE
ISSN journal
01678019 → ACNP
Volume
63
Issue
1-3
Year of publication
2000
Pages
233 - 243
Database
ISI
SICI code
0167-8019(200009)63:1-3<233:AOHPBM>2.0.ZU;2-G
Abstract
We prove that arbitrary Hunt processes on a general state space can be appr oximated by multivariate Poisson processes starting from each point of the state space. The key point is that no additional regularity assumption on t he state space and on the underlying transition semigroup is used.