1209.2590 (C. von Ferber et al.)

Fractal transit networks: self-avoiding walks and Lévy flights    [PDF]

C. von Ferber, Yu. Holovatch

Using 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\'evy-flights. The latter property may result from the fact that the routes are planned to adapt to fluctuating demand densities throughout the served area. We also relate this to optimization properties of L\'evy flights.

View original: http://arxiv.org/abs/1209.2590