Annals of Applied Probability

Voter models with heterozygosity selection

Anja Sturm and Jan Swart

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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.

Article information

Ann. Appl. Probab., Volume 18, Number 1 (2008), 59-99.

First available in Project Euclid: 9 January 2008

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Zentralblatt MATH identifier

Primary: 82C22: Interacting particle systems [See also 60K35]
Secondary: 82C41: Dynamics of random walks, random surfaces, lattice animals, etc. [See also 60G50] 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]

Heterozygosity selection negative frequency dependent selection rebellious voter model branching annihilation parity preservation cancellative systems survival coexistence


Sturm, Anja; Swart, Jan. Voter models with heterozygosity selection. Ann. Appl. Probab. 18 (2008), no. 1, 59--99. doi:10.1214/07-AAP444.

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