A Coupled Friedkin-Johnsen Model of Popularity Dynamics in Social Media
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913918542151680 |
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| author | Cocca, Gaya Frasca, Paolo Ravazzi, Chiara |
| author_facet | Cocca, Gaya Frasca, Paolo Ravazzi, Chiara |
| contents | Popularity dynamics in social media depend on a complex interplay of social influence between users and popularity-based recommendations that are provided by the platforms. In this work, we introduce a discrete-time dynamical system to model the evolution of popularity on social media. Our model generalizes the well-known Friedkin-Johnsen model to a set of influencers vying for popularity. We study the asymptotic behavior of this model and illustrate it with numerical examples. Our results highlight the interplay of social influence, past popularity, and content quality in determining the popularity of influencers. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_15170 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Coupled Friedkin-Johnsen Model of Popularity Dynamics in Social Media Cocca, Gaya Frasca, Paolo Ravazzi, Chiara Social and Information Networks Systems and Control Popularity dynamics in social media depend on a complex interplay of social influence between users and popularity-based recommendations that are provided by the platforms. In this work, we introduce a discrete-time dynamical system to model the evolution of popularity on social media. Our model generalizes the well-known Friedkin-Johnsen model to a set of influencers vying for popularity. We study the asymptotic behavior of this model and illustrate it with numerical examples. Our results highlight the interplay of social influence, past popularity, and content quality in determining the popularity of influencers. |
| title | A Coupled Friedkin-Johnsen Model of Popularity Dynamics in Social Media |
| topic | Social and Information Networks Systems and Control |
| url | https://arxiv.org/abs/2503.15170 |