Dresden 2009 – wissenschaftliches Programm
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AGSOE: Arbeitsgruppe Physik sozio-ökonomischer Systeme
AGSOE 19: Networks: From Topology to Dynamics IV
AGSOE 19.4: Vortrag
Donnerstag, 26. März 2009, 17:30–17:59, BAR 205
Public Transport Routes and Self-avoiding Walks — •Christian von Ferber1,2, Taras Holovatch1,3, Yurij Holovatch4,5, and Vasyl Palchykov4 — 1Applied Mathematics Research Centre, Coventry University, UK — 2Physikalisches Institut, Universität Freiburg — 3Laboratoire de Physique des Materiaux, Université Nancy, France — 4ICPM National Academy of Sciences of Ukraine, Lviv — 5Institut für Theoretische Physik, Universität Linz, Österreich
We explore the fractal dimensions of public transport routes of different cities with the finding that their fractal behaviour is close to that of self-avoiding walks. Self-avoiding walks, apart from observing the constraint of non-self-intersection evolve randomly. The fact that PT routes appear to display a similar scaling symmetry is quite unexpected. In particular, this behavior seems to be at odds with the requirement of minimizing passengers traveling time between origin to destination. The latter argument, however, ignores the time passengers spend walking to the initial and from the final stations. Including these, one understands the need for the routes to cover larger areas by meandering through neighborhoods. Given the requirements for a PTN to cover a metropolitan area with a limited number of routes while simultaneously offering fast transport across the city routes scaling like SAWs may present an optimal solution.