Age, Innovations and Time Operator of Networks

作者：Gialampoukidis Ilias^*; Antoniou Ioannis

来源：Physica A: Statistical Mechanics and Its Applications , 2015, 432: 140-155.

DOI：10.1016/j.physa.2015.03.026

• Time Operator
• Innovation
• Internal Age
• Tsallis Entropy
• Preferential attachment

We extend the Time Operator and Age to Network Evolution models. Internal Age formulas and the distribution of innovations are computed for Erdos-Renyi Random Networks, for Markov Networks and Barabasi-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 Barabasi-Albert model is a new probability distribution of the logarithmic type.

• 出版日期2015-8-15