Physics – Data Analysis – Statistics and Probability
Scientific paper
2008-11-06
Proc. Natl. Acad. Sci. (USA) 106, 8847 (2009)
Physics
Data Analysis, Statistics and Probability
8 pages, 7 figures
Scientific paper
10.1073/pnas.0811113106
Many complex systems, including networks, are not static but can display strong fluctuations at various time scales. Characterizing the dynamics in complex networks is thus of the utmost importance in the understanding of these networks and of the dynamical processes taking place on them. In this article, we study the example of the US airport network in the time period 1990-2000. We show that even if the statistical distributions of most indicators are stationary, an intense activity takes place at the local (`microscopic') level, with many disappearing/appearing connections (links) between airports. We find that connections have a very broad distribution of lifetimes, and we introduce a set of metrics to characterize the links' dynamics. We observe in particular that the links which disappear have essentially the same properties as the ones which appear, and that links which connect airports with very different traffic are very volatile. Motivated by this empirical study, we propose a model of dynamical networks, inspired from previous studies on firm growth, which reproduces most of the empirical observations both for the stationary statistical distributions and for the dynamical properties.
Barrat Alain
Barthelemy Marc
Gautreau Aurelien
No associations
LandOfFree
Microdynamics in stationary complex networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Microdynamics in stationary complex networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Microdynamics in stationary complex networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-228263