For what number of cars must self organization occur in the Biham-Middleton-Levine traffic model from any possible starting configuration?
Tim D. Austin, Itai Benjamini
Abstract
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.
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