The contact process on dynamical scale-free networks

2022/06/02 by Emmanuel Jacob, Jacob, Emmanuel, Amitai Linker +3 · 1 citation
Mathematics · Physics and Astronomy · #82C43 #Complex Network Analysis Techniques #FOS: Mathematics #Primary 05C82 #Probability (math.PR) #Secondary 82C22 #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2206.01073

openalex publication_date 2022/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the contact process on four different types of scale-free inhomogeneous random graphs evolving according to a stationary dynamics, where each potential edge is updated with a rate depending on the strength of the adjacent vertices. Depending on the type of graph, the tail exponent of the degree distribution and the updating rate, we find parameter regimes of fast and slow extinction and in the latter case identify metastable exponents that undergo first order phase transitions.

Cited by

• Local weak limit of dynamical inhomogeneous random graphs

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