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. We find that, to a good approximation, the optimal paths can be described as directed polymers in a disordered medium, which belong to the Kardar-Parisi-Zhang universality class of in...
Main Authors: | , , , |
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Other Authors: | |
Format: | Article |
Language: | English |
Published: |
American Physical Society
2017
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Online Access: | http://hdl.handle.net/1721.1/112958 https://orcid.org/0000-0002-1112-5912 |