Chen, Anyue (2002) Generalized Markov branching processes. In: International Congress of Mathematicians (ICM2002), 20-28 Aug 2002, Beijing, China.

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Abstract

A generalized Markov Brnching Process (GMBP) is a Markov branching model where the infinitesimal branching rates are modified with an interaction index. It is proved that there always exists only one GMBP. An associated differential-integral equation is derived. The extinction probalility and the mean and conditional mean extinction times are obtained. Ergodicity and stability of GMBP with resurrection are also considered. Easy checking criteria are established for ordinary and strong ergodicty. The equilibrium distribution is given in an elegant closed form. The probability meaning of our results is clear and thus explained.

Item Type:	Conference or Conference Paper (Poster)
Additional Information:	[1] This Short Communication and Poster was presented at the International Congress of Mathematicians (ICM2002) held from 20-28 August 2002 in Beijing, China. It was delivered on 22 August 2002. [2] Chapter 10.
Uncontrolled Keywords:	Generalized Markov Branching Processes, GMBP, probability
Subjects:	Q Science > QA Mathematics
Pre-2014 Departments:	School of Computing & Mathematical Sciences
Related URLs:	Organisation Organisation Organisation
Last Modified:	14 Oct 2016 09:01
URI:	http://gala.gre.ac.uk/id/eprint/588

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