Passage time from four to two blocks of opinions in the voter model

Details Passage time from four to two blocks of opinions in the voter model Passage time from four to two blocks of opinions in the voter model

2009-05-14

arxiv.org/abs/0905.2310v2

Mathematics

Probability

10 pages; 1 figure

Scientific paper

We consider a voter model in which there are two candidates and initially, in the population Z, four connected blocks of same opinions. We assume that a citizen changes his mind at a rate proportional to the number of its neighbors that disagree with him, and we study the passage from four to two connected blocks of same opinions. More precisely, we make explicit the generating function of the probabilities to go from four to two blocks in a given time, and we find the asymptotic of these probabilities when the time goes to infinity.

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