摘要翻译:
我们研究的选民模型有一个有限密度的狂热者--选民永远不会改变意见。对于每个物种的狂热者数目相等,磁化强度(意见)的分布在平均场极限中以及在一维和二维中都是高斯分布,其宽度与1/sqrt{Z}成正比,其中Z是狂热者的数目,与投票者的总数无关。因此,只有少数狂热分子可以阻止共识,甚至阻止形成强大的多数。
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英文标题:
《On the Role of Zealotry in the Voter Model》
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作者:
M. Mobilia, A. Petersen, S. Redner
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最新提交年份:
2007
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分类信息:
一级分类:Physics        物理学
二级分类:Physics and Society        物理学与社会
分类描述:Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体(人类或其他)的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统(如能源网、运输网络)的物理和工程。
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一级分类:Physics        物理学
二级分类:Statistical Mechanics        统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics        物理学
二级分类:General Physics        普通物理学
分类描述:Description coming soon
描述即将到来
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英文摘要:
  We study the voter model with a finite density of zealots--voters than never change opinion. For equal numbers of zealots of each species, the distribution of magnetization (opinions) is Gaussian in the mean-field limit as well as in one and two dimensions, with a width that is proportional to 1/sqrt{Z}, where Z is the number of zealots, independent of the total number of voters. Thus just a few zealots can prevent consensus or even the formation of a robust majority. 
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PDF链接:
https://arxiv.org/pdf/706.2892