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Modeling of Flows with Power-Law Spectral Densities and Power-Law Distributions of Flow Intensities

  • Conference paper
Traffic and Granular Flow’05

Summary

We present analytical and numerical results of modeling of flows represented as correlated non-Poissonian point process and as Poissonian sequence of pulses of different size. Both models may generate signals with power-law distributions of the intensity of the flow and power-law spectral density. Furthermore, different distributions of the interevent time of the point process and different statistics of the size of pulses may result in 1/f β noise with 0.5 ≲ β ≲ 2. A combination of the models is applied for modeling Internet traffic.

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Author information

Authors and Affiliations

  1. Institute of Theoretical Physics and Astronomy of Vilnius University, A. Gostauto 12, LT-01108, Vilnius, Lithuania

    Bronislovas Kaulakys, Miglius Alaburda, Vygintas Gontis, Tadas Meskauskas & Julius Ruseckas

Authors
  1. Bronislovas Kaulakys
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  2. Miglius Alaburda
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  3. Vygintas Gontis
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  4. Tadas Meskauskas
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  5. Julius Ruseckas
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, 50937, Köln, Germany

    Andreas Schadschneider

  2. Campus Virchow Klinikum Centrum für Unfall- und Wiederherstellungschirurgie, Charité, Augustenburger Platz 1, 13353, Berlin, Germany

    Thorsten Pöschel

  3. Institut für Verkehrsforschung, Deutsches Zentrum für Luft- und Raumfahrt (DLR), Rutherfordstr. 2, 12489, Berlin, Germany

    Reinhart Kühne

  4. Physik von Transport und Verkehr, Universität Duisburg-Essen, Lotharstr. 1, 47048, Duisburg, Germany

    Michael Schreckenberg

  5. Theoretische Physik, Universität Duisburg-Essen, Lotharstr. 1, 47048, Duisburg, Germany

    Dietrich E. Wolf

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© 2007 Springer-Verlag Berlin Heidelberg

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Kaulakys, B., Alaburda, M., Gontis, V., Meskauskas, T., Ruseckas, J. (2007). Modeling of Flows with Power-Law Spectral Densities and Power-Law Distributions of Flow Intensities. In: Schadschneider, A., Pöschel, T., Kühne, R., Schreckenberg, M., Wolf, D.E. (eds) Traffic and Granular Flow’05. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-47641-2_59

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