Voter models with heterozygosity selection

Details Voter models with heterozygosity selection Voter models with heterozygosity selection

2007-01-19

arxiv.org/abs/math/0701555v3

Annals of Applied Probability 2008, Vol. 18, No. 1, 59-99

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/07-AAP444 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/07-AAP444

This paper studies variations of the usual voter model that favor types that are locally less common. Such models are dual to certain systems of branching annihilating random walks that are parity preserving. For both the voter models and their dual branching annihilating systems we determine all homogeneous invariant laws, and we study convergence to these laws started from other initial laws.

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