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Age, Innovations and Time Operator of Networks

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  • Gialampoukidis, Ilias
  • Antoniou, Ioannis

Abstract

We extend the Time Operator and Age to Network Evolution models. Internal Age formulas and the distribution of innovations are computed for Erdős–Rényi Random Networks, for Markov Networks and Barabási–Albert preferential Attachment Networks. The innovation probabilities are found to be proportional to the quadratic entropy (which coincides with the Tsallis entropy for entropic index q=2) in all Markov networks, as well as in the linear growth mechanism. The distribution of innovations in the Barabási–Albert model is a new probability distribution of the logarithmic type.

Suggested Citation

  • Gialampoukidis, Ilias & Antoniou, Ioannis, 2015. "Age, Innovations and Time Operator of Networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 140-155.
    • Handle: RePEc:eee:phsmap:v:432:y:2015:i:c:p:140-155
    DOI: 10.1016/j.physa.2015.03.026
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