Crossover transition in the fluctuation of Internet

Jiang-Hai Qian

Physica A: Statistical Mechanics and its Applications, 2018, vol. 499, issue C, 407-412

Abstract: The inconsistent fluctuation behavior of Internet predicted by preferential attachment(PA) and Gibrat’s law requires empirical investigations on the actual system. By using the interval-tunable Gibrat’s law statistics, we find the actual fluctuation, characterized by the conditional standard deviation of the degree growth rate, changes with the interval length and displays a crossover transition from PA type to Gibrat’s law type, which has not yet been captured by any previous models. We characterize the transition dynamics quantitatively and determine the applicative range of PA and Gibrat’s law. The correlation analysis indicates the crossover transition may be attributed to the accumulative correlation between the internal links.

Keywords: Internet; Fluctuation; Gibrat’s law; Preferential attachment (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:499:y:2018:i:c:p:407-412

DOI: 10.1016/j.physa.2018.02.020

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