# Bibliography

Abstract

### Numerical Analysis of the Rebellious Voter Model

,

**: **Abstracts of Contributions to 7th International Workshop on Data - Algorithms - Decision Making, p. 48-48
, Eds: Janžura M., Ivánek J.

**: **7th International Workshop on Data - Algorithms - Decision Making,
(Mariánská, CZ, 27.11.2011-29.11.2011)

**: ** CEZ:AV0Z10750506

**: **1M0572, GA MŠk,
GAP202/10/0618, GA ČR

**: **particle system

**(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. We present an analysis of 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.

**: **BD