Fractal transit networks: Self-avoiding walks and Lévy flights

Christian Von Ferber, Y. Holovatch

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    Abstract

    Using the data on the Berlin public transport network, the present study extends previous observations of fractality within public transport routes by showing that also the distribution of inter-station distances along routes displays non-trivial power law behaviour. This indicates that the routes may in part also be described as Lévy-flights. The latter property may result from the fact that the routes are planned to be adapted to the fluctuating demand densities throughout the served area. We also relate this to optimization properties of Lévy flights.
    Original languageEnglish
    Pages (from-to)49-55
    JournalEuropean Physical Journal: Special Topics
    Volume216
    Issue number1
    DOIs
    Publication statusPublished - 2013

    Bibliographical note

    The full text is available free from the link given. The published version can be found at http://dx.doi.org/10.1140/epjst/e2013-01728-0 .
    The final publication is available at link.springer.com.

    Keywords

    • public transport networks
    • fractality
    • Lévy-flights

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