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- Title
Critical Density Points for Threshold Voter Models on Homogeneous Trees.
- Authors
Xue, Xiaofeng
- Abstract
In this paper we study the threshold voter models on homogeneous trees. We give the definition of the 'critical density' of the models and obtain an estimation of it. Furthermore, we study the exponential rate at which the process converges to an absorbed state δ in the subcritical case. At the end of the paper, we propose two conjectures about the phase transition phenomenons of our models.
- Subjects
STATISTICAL physics; MATHEMATICAL statistics; MATHEMATICAL models; TREE graphs; PHASE transitions; PHASE equilibrium
- Publication
Journal of Statistical Physics, 2012, Vol 146, Issue 2, p423
- ISSN
0022-4715
- Publication type
Article
- DOI
10.1007/s10955-011-0405-6