Unperturbed Schelling Segregation in Two or Three Dimensions
文献类型：期刊论文
| 作者 | Barmpalias, G ; Elwes, R ; Lewis-Pye, A |
| 刊名 | JOURNAL OF STATISTICAL PHYSICS
 |
| 出版日期 | 2016 |
| 卷号 | 164期号:6页码:1460-1487 |
| 关键词 | Schelling segregation Algorithmic game theory Complex systems Non-linear dynamics Ising model Spin glass |
| ISSN号 | 0022-4715 |
| 中文摘要 | Schelling's models of segregation, first described in 1969 (Am Econ Rev 59:488-493, 1969) are among the best known models of self-organising behaviour. Their original purpose was to identify mechanisms of urban racial segregation. But his models form part of a family which arises in statistical mechanics, neural networks, social science, and beyond, where populations of agents interact on networks. Despite extensive study, unperturbed Schelling models have largely resisted rigorous analysis, prior results generally focusing on variants in which noise is introduced into the dynamics, the resulting system being amenable to standard techniques from statistical mechanics or stochastic evolutionary game theory (Young in Individual strategy and social structure: an evolutionary theory of institutions, Princeton University Press, Princeton, 1998). A series of recent papers (Brandt et al. in: Proceedings of the 44th annual ACM symposium on theory of computing (STOC 2012), 2012); Barmpalias et al. in: 55th annual IEEE symposium on foundations of computer science, Philadelphia, 2014, J Stat Phys 158:806-852, 2015), has seen the first rigorous analyses of 1-dimensional unperturbed Schelling models, in an asymptotic framework largely unknown in statistical mechanics. Here we provide the first such analysis of 2- and 3-dimensional unperturbed models, establishing most of the phase diagram, and answering a challenge from Brandt et al. in: Proceedings of the 44th annual ACM symposium on theory of computing (STOC 2012), 2012). |
| 英文摘要 | Schelling's models of segregation, first described in 1969 (Am Econ Rev 59:488-493, 1969) are among the best known models of self-organising behaviour. Their original purpose was to identify mechanisms of urban racial segregation. But his models form part of a family which arises in statistical mechanics, neural networks, social science, and beyond, where populations of agents interact on networks. Despite extensive study, unperturbed Schelling models have largely resisted rigorous analysis, prior results generally focusing on variants in which noise is introduced into the dynamics, the resulting system being amenable to standard techniques from statistical mechanics or stochastic evolutionary game theory (Young in Individual strategy and social structure: an evolutionary theory of institutions, Princeton University Press, Princeton, 1998). A series of recent papers (Brandt et al. in: Proceedings of the 44th annual ACM symposium on theory of computing (STOC 2012), 2012); Barmpalias et al. in: 55th annual IEEE symposium on foundations of computer science, Philadelphia, 2014, J Stat Phys 158:806-852, 2015), has seen the first rigorous analyses of 1-dimensional unperturbed Schelling models, in an asymptotic framework largely unknown in statistical mechanics. Here we provide the first such analysis of 2- and 3-dimensional unperturbed models, establishing most of the phase diagram, and answering a challenge from Brandt et al. in: Proceedings of the 44th annual ACM symposium on theory of computing (STOC 2012), 2012). |
| 收录类别 | SCI ; SSCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000382405500009 |
| 公开日期 | 2016-12-09 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/17304]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Barmpalias, G,Elwes, R,Lewis-Pye, A. Unperturbed Schelling Segregation in Two or Three Dimensions[J]. JOURNAL OF STATISTICAL PHYSICS,2016,164(6):1460-1487. |
| APA | Barmpalias, G,Elwes, R,&Lewis-Pye, A.(2016).Unperturbed Schelling Segregation in Two or Three Dimensions.JOURNAL OF STATISTICAL PHYSICS,164(6),1460-1487. |
| MLA | Barmpalias, G,et al."Unperturbed Schelling Segregation in Two or Three Dimensions".JOURNAL OF STATISTICAL PHYSICS 164.6(2016):1460-1487. |
入库方式： OAI收割
来源：软件研究所
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