Fractal transit networks: Self-avoiding walks and Lévy flights

Christian Von Ferber; Y. Holovatch

doi:10.1140/epjst/e2013-01728-0

Fractal transit networks: Self-avoiding walks and Lévy flights

Christian Von Ferber, Y. Holovatch

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	49-55
Journal	European Physical Journal: Special Topics
Volume	216
Issue number	1
DOIs	https://doi.org/10.1140/epjst/e2013-01728-0
Publication status	Published - 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

Access to Document

10.1140/epjst/e2013-01728-0

http://arxiv.org/abs/1209.2590

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Cite this

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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 L{\'e}vy-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 L{\'e}vy flights. ",

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