Inhomogeneous Voter Models in One Dimension

Shirin J. Handjani ()
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Shirin J. Handjani: University of California, San Diego

Journal of Theoretical Probability, 2003, vol. 16, issue 2, 325-338

Abstract: Abstract We establish conditions for survival and extinction of types of one-dimensional voter models, and show that increasing the flip rates at a finite number of sites typically does not affect survival, unless the flipping mechanism is altered. We provide an example of a modified voter model that does not survive but can be made to survive simply by altering the flip mechanism at one site. We also show that a rather general class of such models have clustering behavior.

Keywords: voter models; random walks; spatially inhomogeneous; survival (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/A:1023562309007

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