A fragmentation model of earthquake-like behavior in internet access activity

Antonino A. Paguirigan (), Marc Jordan G. Angco () and Johnrob Y. Bantang
Additional contact information
Antonino A. Paguirigan: National Institute of Physics, University of the Philippines, Diliman, 1101 Quezon City, Philippines
Marc Jordan G. Angco: #x2020;University Computer Center, University of the Philippines, Diliman, 1101 Quezon City, Philippines
Johnrob Y. Bantang: National Institute of Physics, University of the Philippines, Diliman, 1101 Quezon City, Philippines

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 07, 1-14

Abstract: We present a fragmentation model that generates almost any inverse power-law size distribution, including dual-scaled versions, consistent with the underlying dynamics of systems with earthquake-like behavior. We apply the model to explain the dual-scaled power-law statistics observed in an Internet access dataset that covers more than 32 million requests. The non-Poissonian statistics of the requested data sizes m and the amount of time τ needed for complete processing are consistent with the Gutenberg–Richter–law. Inter-event times δt between subsequent requests are also shown to exhibit power-law distributions consistent with the generalized Omori law. Thus, the dataset is similar to the earthquake data except that two power-law regimes are observed. Using the proposed model, we are able to identify underlying dynamics responsible in generating the observed dual power-law distributions. The model is universal enough for its applicability to any physical and human dynamics that is limited by finite resources such as space, energy, time or opportunity.

Keywords: Power-laws; dual scaling; stochastic processes; Internet; human activity (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183117500929
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:28:y:2017:i:07:n:s0129183117500929

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183117500929

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().