For what number of cars must self organization occur in the Biham-Middleton-Levine traffic model from any possible starting configuration?

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For any initial configuration of fewer than N/2 cars the BML model will self organize to attain speed one. On the other hand, there is a configuration of size m in which no car can move if and only if m is at least 2N.
4 pages

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Combinatorics, Mathematical Physics, 60C05

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http://salesiana.dossiersoluciones.com/handle/123456789/115195

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607759
 http://arxiv.org/abs/math/0607759

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arXiv