  A new mechanism leading to a random version of Burgers' equation is
introduced: it is shown that the Totally Asymmetric Exclusion Process in
discrete time (TASEP) can be understood as an intrinsically stochastic,
non-entropic weak solution of Burgers' equation on $\mathbb{R}$. In this
interpretation, the appearance of randomness in the Burgers' dynamics is caused
by random additions of jumps to the solution, corresponding to the random
effects in TASEP.
