Age, Innovations and Time Operator of Networks

Ilias Gialampoukidis and Ioannis Antoniou

Physica A: Statistical Mechanics and its Applications, 2015, vol. 432, issue C, 140-155

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.

Keywords: Time Operator; Innovation; Internal Age; Tsallis Entropy; Preferential attachment (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:432:y:2015:i:c:p:140-155

DOI: 10.1016/j.physa.2015.03.026

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