Decision making times in mean-field dynamic Ising model
Probability
2010-05-28 v1 Mathematical Physics
math.MP
Abstract
We consider a dynamic mean-field ferromagnetic model in the low-temperature regime in the neighborhood of the zero magnetization state. We study the random time it takes for the system to make a decision, i.e., to exit the neighborhood of the unstable equilibrium and approach one of the two stable equilibrium points. We prove a limit theorem for the distribution of this random time in the thermodynamic limit.
Keywords
Cite
@article{arxiv.1005.4964,
title = {Decision making times in mean-field dynamic Ising model},
author = {Yuri Bakhtin},
journal= {arXiv preprint arXiv:1005.4964},
year = {2010}
}
Comments
11 pages