Measure-valued discrete branching Markov processes
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- by Lucian Beznea and Oana Lupaşcu PDF
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Abstract:
We construct and study branching Markov processes on the space of finite configurations of the state space of a given standard process, controlled by a branching kernel and a killing kernel. In particular, we may start with a superprocess, obtaining a branching process with state space the finite configurations of positive finite measures on a topological space. A main tool in proving the path regularity of the branching process is the existence of convenient superharmonic functions having compact level sets, allowing the use of appropriate potential theoretical methods.References
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Additional Information
- Lucian Beznea
- Affiliation: Simion Stoilow Institute of Mathematics of the Romanian Academy, Research unit No. 2, P.O. Box 1-764, RO-014700 Bucharest, Romania – and – Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Romania
- Email: lucian.beznea@imar.ro
- Oana Lupaşcu
- Affiliation: Simion Stoilow Institute of Mathematics of the Romanian Academy, Research group of the POSDRU Project 82514, Bucharest, Romania
- Address at time of publication: Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Bucharest, Romania – and – Research Institute of the University of Bucharest (ICUB), Bucharest, Romania
- Email: oana.lupascu@imar.ro
- Received by editor(s): January 1, 2013
- Received by editor(s) in revised form: July 14, 2014
- Published electronically: October 29, 2015
- Additional Notes: This work was supported by a grant from the Romanian National Authority for Scientific Research, CNCS –UEFISCDI, project number PN-II-ID-PCE-2011-3-0045.
The second author’s research was financed through the project “Excellence Research Fellowships for Young Researchers”, the 2015 Competition, founded by the Research Institute of the University of Bucharest (ICUB) - © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 5153-5176
- MSC (2010): Primary 60J80, 60J45, 60J35; Secondary 60J40, 47D07
- DOI: https://doi.org/10.1090/tran/6514
- MathSciNet review: 3456175