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Download relaxation dynamics on the WWW following newspaper publication of URL

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  • Johansen, Anders
  • Sornette, Didier

Abstract

We describe an experiment on the dynamical response of the internaut population surfing the World-Wide-Web to a Dirac-like perturbation, specifically how the popularity of a web site evolves and relaxes as a function of time in response to the publication of a notice/advertisement in a newspaper. Following the publication of an interview, which contained our URL, by a journalist, we monitored the rate of downloads of our papers as a function of time and found it to obey a 1/tb power law with exponent b=0.58±0.03. This small exponent implies long-term memory and can be rationalized using the concept of persistence, which specifies how long a relaxing dynamical system remains in a neighborhood of its initial configuration.

Suggested Citation

  • Johansen, Anders & Sornette, Didier, 2000. "Download relaxation dynamics on the WWW following newspaper publication of URL," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(1), pages 338-345.
    • Handle: RePEc:eee:phsmap:v:276:y:2000:i:1:p:338-345
    DOI: 10.1016/S0378-4371(99)00468-9
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    Cited by:

    1. Mikhail V. Simkin & Vwani P. Roychowdhury, 2015. "Why does attention to web articles fall with Time?," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 66(9), pages 1847-1856, September.
    2. Juan V Escobar & Didier Sornette, 2015. "Dynamical Signatures of Collective Quality Grading in a Social Activity: Attendance to Motion Pictures," PLOS ONE, Public Library of Science, vol. 10(1), pages 1-15, January.
    3. Fry, John, 2012. "Exogenous and endogenous crashes as phase transitions in complex financial systems," MPRA Paper 36202, University Library of Munich, Germany.
    4. Jamie Olson & Kathleen Carley, 2013. "Exact and approximate EM estimation of mutually exciting hawkes processes," Statistical Inference for Stochastic Processes, Springer, vol. 16(1), pages 63-80, April.

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