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The phase transition of the voter model on evolving scale-free networks

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  • Fernley, John

Abstract

The voter model on a social network can explain consensus formation, where real networks feature a heterogeneous degree distribution and also change in time. We study the voter model in an environment with both features: a rank one scale-free network evolving in time by each vertex updating its edge neighbourhood at rate κ.

Suggested Citation

  • Fernley, John, 2025. "The phase transition of the voter model on evolving scale-free networks," Stochastic Processes and their Applications, Elsevier, vol. 190(C).
    • Handle: RePEc:eee:spapps:v:190:y:2025:i:c:s0304414925001802
    DOI: 10.1016/j.spa.2025.104737
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    References listed on IDEAS

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    1. Avena, Luca & Güldaş, Hakan & Hofstad, Remco van der & Hollander, Frank den, 2019. "Random walks on dynamic configuration models:A trichotomy," Stochastic Processes and their Applications, Elsevier, vol. 129(9), pages 3360-3375.
    2. Fernley, John & Mörters, Peter & Ortgiese, Marcel, 2025. "The contact process on a graph adapting to the infection," Stochastic Processes and their Applications, Elsevier, vol. 183(C).
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