Publication details

Abstract

Numerical Analysis of the Rebellious Voter Model

Swart Jan M., Vrbenský Karel

: 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

: http://library.utia.cas.cz/separaty/2011/SI/swart-numerical%20analysis%20of%20the%20rebellious%20voter%20model.pdf

(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