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Phys. Rev. E 73, 066132 (2006) [6 pages]

Dynamics of information access on the web

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Z. Dezsö1, E. Almaas2,1, A. Lukács3,4, B. Rácz3,4, I. Szakadát3,4, and A.-L. Barabási5,1,*
1Center for Complex Network Research and Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556, USA
2Microbial Systems Division, Biosciences Directorate, Lawrence Livermore National Laboratory, Livermore, California 94551, USA
3Computer and Automation Research Institute, Hungarian Academy of Sciences MTA SZTAKI, Budapest, Hungary
4Axelero Internet Provider Inc., 1364 Budapest, Hungary
5Center for Cancer Systems Biology, Dana Farber Cancer Institute, Harvard University, Boston, Massachusetts 02115, USA

Received 2 March 2005; revised 29 March 2006; published 30 June 2006

While current studies on complex networks focus on systems that change relatively slowly in time, the structure of the most visited regions of the web is altered at the time scale from hours to days. Here we investigate the dynamics of visitation of a major news portal, representing the prototype for such a rapidly evolving network. The nodes of the network can be classified into stable nodes, which form the time-independent skeleton of the portal, and news documents. The visitations of the two node classes are markedly different, the skeleton acquiring visits at a constant rate, while a news document’s visitation peaks after a few hours. We find that the visitation pattern of a news document decays as a power law, in contrast with the exponential prediction provided by simple models of site visitation. This is rooted in the inhomogeneous nature of the browsing pattern characterizing individual users: the time interval between consecutive visits by the same user to the site follows a power-law distribution, in contrast to the exponential expected for Poisson processes. We show that the exponent characterizing the individual user’s browsing patterns determines the power-law decay in a document’s visitation. Finally, our results document the fleeting quality of news and events: while fifteen minutes of fame is still an exaggeration in the online media, we find that access to most news items significantly decays after 36 hours of posting.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.73.066132
DOI:
10.1103/PhysRevE.73.066132
PACS:
89.75.Hc, 89.20.Hh, 89.75.Fb

*Electronic address: alb@nd.edu