Analytical study of quality-biased competition dynamics for memes in social media
arXiv:1803.08511 · doi:10.1209/0295-5075/122/28002
Abstract
The spreading of news, memes and other pieces of information occurring via online social platforms has a strong and growing impact on our modern societies, with enormous consequences, that may be beneficial but also catastrophic. In this work we consider a recently introduced model for information diffusion in social media taking explicitly into account the competition of a large number of items of diverse quality. We map the meme dynamics onto a one-dimensional diffusion process that we solve analytically, deriving the lifetime and popularity distributions of individual memes. We also present a mean-field type of approach that reproduces the average stationary properties of the dynamics. In this way we understand and control the role of the different ingredients of the model, opening the path for the inclusion of additional, more realistic, features.
arXiv comment6 pages + 9 pages of Supplementary Material
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- Classes of critical avalanche dynamics in complex networks
- Scaling laws and dynamics of hashtags on Twitter