# Bibliography

Journal Article

### Numerical analysis of the rebellious voter model

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**: **Journal of Statistical Physics vol.140, 5 (2010), p. 873-899

**: ** CEZ:AV0Z10750506

**: **GA201/09/1931, GA ČR,
1M0572, GA MŠk

**: **rebellious voter model,
parity conservation,
exactly solvable model,
coexistence,
interface tightness,
cancellative systems,
Markov chain Monte Carlo

**(eng): **The rebellious voter model, introduced by Sturm and Swart (2008), is a variation of the standard, one-dimensional voter model, in which types that are locally in the minority have an advantage. It is related, both through duality and through the evolution of its interfaces, to a system of branching annihilating random walks that is believed to belong to the `parity-conservation' universality class. This paper presents numerical data for the rebellious voter model and for a closely related one-sided version of the model. Both models appear to exhibit a phase transition between noncoexistence and coexistence as the advantage for minority types is increased. For the one-sided model (but not for the original, two-sided rebellious voter model), it appears that the critical point is exactly a half and two important functions of the process are given by simple, explicit formulas, a fact for which we have no explanation.

**: **BA