Recently, Blythe and Evans have considered the application of the Lee-Yang theory of partition function zeroes to the random sequential update ASEP. They found that the ASEP normalization plays the role of the partition function in equilibrium systems and that the nature of the transitions can, indeed, be derived from the behaviour of the normalization zeroes. In this paper we consider the exact solution of the parallel update ASEP and calculate the normalization zeroes both analytically and numerically. The Lee-Yang theory is found to still apply, suggesting that an equilibrium lattice path interpretation of the model exists, similar to that recently found in the random case by Brak.et.al.
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