Competition-Induced Criticality in a Model of Meme Popularity

被引:100
|
作者
Gleeson, James P. [1 ]
Ward, Jonathan A. [2 ]
O'Sullivan, Kevin P. [1 ]
Lee, William T. [1 ]
机构
[1] Univ Limerick, Dept Math & Stat, MACSI, Limerick, Ireland
[2] Univ Reading, Dept Math & Stat, Ctr Math Human Behav, Whiteknights RG6 6AH, England
基金
英国工程与自然科学研究理事会; 爱尔兰科学基金会;
关键词
SELF-ORGANIZED CRITICALITY; EXTINCTION; EMERGENCE; EVOLUTION;
D O I
10.1103/PhysRevLett.112.048701
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Heavy-tailed distributions of meme popularity occur naturally in a model of meme diffusion on social networks. Competition between multiple memes for the limited resource of user attention is identified as the mechanism that poises the system at criticality. The popularity growth of each meme is described by a critical branching process, and asymptotic analysis predicts power-law distributions of popularity with very heavy tails (exponent alpha < 2, unlike preferential-attachment models), similar to those seen in empirical data.
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页数:5
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