Duals and thinnings of some relatives of the contact process

Details Duals and thinnings of some relatives of the contact process Duals and thinnings of some relatives of the contact process

2006-04-14

arxiv.org/abs/math/0604335v1

Proceedings of Prague Stochastics, August 21 to 25, 2006, MATFYZPRESS, Prague, 2006

Mathematics

Probability

19 pages. A shortened version of this report has been submitted for publication in the proceedings of Prague Stochastics 2006

Scientific paper

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.

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