Population networks with no occupancy ceiling

Phil Pollett

(Joint work with Liam Hodgkinson)

Abstract: We consider a general class of occupancy processes where there is no upper limit on the number of sites that can be occupied. This class encompasses metapopulation models, various probabilistic cellular automata, and many well-known interacting particle systems. We examine the limiting behaviour as the density of sites in space increases. These limits are not only natural in the theory, but in practice as well, as they describe models with increasing environmental fidelity.

Acknowledgement: This work is support by the ARC

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Last modified: 5th February 2021