Numerical analysis of the rebellious voter model

0346287 - ÚTIA 2011 RIV NL eng J - Článek v odborném periodiku
Swart, Jan M. - Vrbenský, Karel
Numerical analysis of the rebellious voter model.
Journal of Statistical Physics. Roč. 140, č. 5 (2010), s. 873-899. ISSN 0022-4715. E-ISSN 1572-9613
Grant CEP: GA ČR GA201/09/1931; GA MŠMT 1M0572
Výzkumný záměr: CEZ:AV0Z10750506
Klíčová slova: rebellious voter model * parity conservation * exactly solvable model * coexistence * interface tightness * cancellative systems * Markov chain Monte Carlo
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.447, rok: 2010
http://library.utia.cas.cz/separaty/2010/SI/swart-numerical analysis of the rebellious voter model.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0187355