scholarly journals Erratum: Is the Voter Model a Model for Voters? [Phys. Rev. Lett.112, 158701 (2014)]

2014 ◽  
Vol 113 (8) ◽  
Author(s):  
Juan Fernández-Gracia ◽  
Krzysztof Suchecki ◽  
José J. Ramasco ◽  
Maxi San Miguel ◽  
Víctor M. Eguíluz
Keyword(s):  
Voter Model

scholarly journals Balancing Conservative and Disruptive Growth in the Voter Model

2021 ◽  
Vol 183 (1) ◽  
Author(s):  
Robert J. H. Ross ◽  
Walter Fontana
Keyword(s):  
Voter Model

scholarly journals Exit probability in a one-dimensional nonlinearq-voter model

2011 ◽  
Vol 84 (3) ◽  
Author(s):  
Piotr Przybyła ◽  
Katarzyna Sznajd-Weron ◽  
Maciej Tabiszewski
Keyword(s):  
Voter Model ◽  
One Dimensional ◽  
Exit Probability

scholarly journals The q-voter model on the torus

2021 ◽  
Vol 26 (none) ◽  
Author(s):  
Pooja Agarwal ◽  
Mackenzie Simper ◽  
Rick Durrett
Keyword(s):  
Voter Model

Hunting submartingales in the jumping voter model and the biased annihilating branching process

1999 ◽  
Vol 31 (03) ◽  
pp. 839-854 ◽  
Author(s):  
Aidan Sudbury
Keyword(s):  
Branching Process ◽  
Voter Model ◽  
Initial Configuration ◽  
Product Measure ◽  
One Dimension

Two species (designated by 0's and 1's) compete for territory on a lattice according to the rules of a voter model, except that the 0's jump d 0 spaces and the 1's jump d 1 spaces. When d 0 = d 1 = 1 the model is the usual voter model. It is shown that in one dimension, if d 1 > d 0 and d 0 = 1,2 and initially there are infinitely many blocks of 1's of length ≥ d 1, then the 1's eliminate the 0's. It is believed this may be true whenever d 1 > d 0. In the biased annihilating branching process particles place offspring on empty neighbouring sites at rate λ and neighbouring pairs of particles coalesce at rate 1. In one dimension it is known to converge to the product measure density λ/(1+λ) when λ ≥ 1/3, and the initial configuration is non-zero and finite. This result is extended to λ ≥ 0.0347. Bounds on the edge-speed are given.

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