Optimal paths on the road network as directed polymers

We analyze the statistics of the shortest and fastest paths on the road network between randomly sampled end points. To a good approximation, these optimal paths are found to be directed in that their lengths (at large scales) are linearly proportional to the absolute distance between them. This mot...

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Veröffentlicht in:	arXiv.org 2017-06
Hauptverfasser:	Solon, A P, Bunin, G, Chu, S, Kardar, M
Format:	Artikel
Sprache:	eng
Schlagworte:	Economic models Physics - Disordered Systems and Neural Networks Physics - Statistical Mechanics Polymers Variation
Online-Zugang:	Volltext
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