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March 2016 Duality and complete convergence for multi-type additive growth models
Eric Foxall
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Adv. in Appl. Probab. 48(1): 32-51 (March 2016).

Abstract

We consider a class of multi-type particle systems whose structure is similar to that of a contact process and show that additivity is equivalent to the existence of a dual process, extending a result of Harris. We prove a necessary and sufficient condition for the model to preserve positive correlations. We then show that complete convergence on Zd holds for a large subclass of models including the two-stage contact process and a household model, and give examples.

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Eric Foxall. "Duality and complete convergence for multi-type additive growth models." Adv. in Appl. Probab. 48 (1) 32 - 51, March 2016.

Information

Published: March 2016
First available in Project Euclid: 8 March 2016

zbMATH: 1341.60125
MathSciNet: MR3473566

Subjects:
Primary: 60J25, 92B99

Rights: Copyright © 2016 Applied Probability Trust

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Vol.48 • No. 1 • March 2016
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