Abstract
We consider the totally asymmetric simple exclusion process (TASEP) in discrete time withthe sublattice parallel dynamics describing particles moving to the right on theone-dimensional infinite chain with equal hopping probabilities. Using sequentially twomappings, we show that the model is equivalent to the TASEP with the backward-orderedsequential update in the case when particles start and finish their motion notsimultaneously. The Green functions are obtained exactly in a determinant form fordifferent initial and final conditions.
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