Decision making times in mean-field dynamic Ising model

Yuri Bakhtin

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arXiv · 1005.4964

Decision making times in mean-field dynamic Ising model

Yuri Bakhtin

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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.

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Yuri Bakhtin. 2010-05-26. Decision making times in mean-field dynamic Ising model. https://arxiv.org/abs/1005.4964

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