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- W2105086723 abstract "We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of blocks of zeros, reducing the problem of preimage enumeration to a well-known lattice path counting problem. Assuming infinite lattice size and random initial configuration, the flow can be expressed in terms of generalized hypergeometric function. We show that the steady-state limit agrees with previously published results." @default.
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- W2105086723 title "Exact results for deterministic cellular automata traffic models" @default.
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- W2105086723 doi "https://doi.org/10.1103/physreve.60.197" @default.
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