Elina M. Mancinelli

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— We give deterministic and stochastic models of the traffic on a circular road without overtaking. From this model the mean speed is derived as an eigenvalue of the min-plus matrix describing the dynamics of the system in the deterministic case and as the Lyapunov exponent of a min-plus stochastic matrix in the stochastic case. The eigenvalue and the(More)
We give a stochastic maxplus model of the traffic on a circular road without overtaking. The average speed is a maxplus Lyapounov exponent. We obtain a complete characterization of the stationary regime. Based on this characterization we obtain an explicit formula for the average speed and a very simple asymptotic result when the number of cars grows to(More)
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