0346287 20240111140742.420100906235959.9 000280816000003 10.1007/s10955-010-0021-x 27 s. cav_un_epca*02571150022-47151405 (2010)873-899Springer rebellious voter model parity conservation exactly solvable model coexistence interface tightness cancellative systems Markov chain Monte Carlo cav_un_auth*0217893 Swart Jan M. Stochastická informatika Department of Stochastic Informatics SI SI UTIA-B Department of Stochastic Informatics Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101231 Vrbenský Karel Stochastická informatika Department of Stochastic Informatics SI SI UTIA-B Department of Stochastic Informatics Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2010/SI/swart-numerical analysis of the rebellious voter model.pdf 1.2 MB GA201/09/1931 GA ČR cav_un_auth*0254026 1M0572 GA MŠk cav_un_auth*0001814 CEZ:AV0Z10750506 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. 2011 BA http://hdl.handle.net/11104/0187355 PHYSICSMATHEMATICAL 1.534 0.34 >10.0 0.01824 0.95 6908 206 1.209 Q1 48.852 60.185 Q3 Q1 2010 000280816000003 WOS 1.2 MB cav_un_epca*0257115 Journal of Statistical Physics 0022-4715 1572-9613 Roč. 140 č. 5 2010 873 899 Springer