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Duals and thinnings of some relatives of the contact process

Research paper by Jan M. Swart

Indexed on: 14 Apr '06Published on: 14 Apr '06Published in: Mathematics - Probability



Abstract

This paper considers contact processes with additional voter model dynamics. For such models, results of Lloyd and Sudbury can be applied to find a self-duality, as well as dualities and thinning relations with systems of random walks with annihilation, branching, coalescence, and deaths. We show that similar relations, which are known from the literature for certain interacting SDE's, can be derived as local mean field limits of the relations of Lloyd and Sudbury.