2008•International Conference on Instrumentation, Measurement, Circuits and SystemsRequires access
Non-linear fluctuations of interfaces by the voter model and stopping times
Jun Wang, Qiuyuan Wang
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Abstract
Applying the theory of voter model and the theory of stopping time, we investigate the statistical properties of the fluctuations of interfaces model that defined from the voter model. We show that the probability distributions of the fluctuations, under some conditions, converge to the corresponding distribution of a geometric Brownian motion.