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A stochastic explosive reaction system with sampling

Published online by Cambridge University Press:  14 July 2016

Donald A. Dawson  and
Klaus Fleischmann
Donald A. Dawson*
Affiliation:
Carleton University
Klaus Fleischmann*
Affiliation:
Academy of Sciences of the GDR
*
∗Postal address: Department of Mathematics and Statistics, Carleton University, Ottawa, Canada K1S 5B6.
∗∗Postal address: Karl Weierstrass Institute of Mathematics, Academy of Sciences of the GDR, Box 1304, Berlin, DDR-1086, GDR.
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Abstract

Large stochastic systems of marked particles are considered. These ‘populations' grow according to pairwise mutually catalytic reactions and in addition particles may exchange their type (mark) by a sampling procedure. We are interested in the explosive behavior of the model and its high density properties (law of large numbers).

Keywords

CHEMICAL REACTIONEXPLOSIVE SYSTEMSHIGH DENSITY LIMITREACTION KINETICS
Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 1 , March 1989 , pp. 9 - 22
Copyright
Copyright © Applied Probability Trust 1989 

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References

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