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We study the facilitated totally asymmetric exclusion process on the onedimensional integer lattice. We investigate the invariant measures and thelimiting behavior of the process. We mainly derive the limiting distribution ofthe process when the initial distribution is the Bernoulli product measure withdensity $1/2$. We also prove that in the low density regime, the system finallyconverges to an absorbing state.

The Limiting Behavior of the FTASEP with Product Bernoulli Initial Distribution