Abstract:We study the one-dimensional discrete time totally asymmetric simple exclusion process with parallel update rules on a spatially periodic domain. A multi-point space-time joint distribution formula is obtained for general initial conditions. The formula involves contour integrals of Fredholm determinants with kernels acting on certain discrete spaces. The large-time, large-period limit is obtained under the relaxation time scale t = O(L 3/2 ) when the height fluctuations are critically affected by the finite g… Show more
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