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We calculate an exact expression for the probability propagator for a noisyelectric field driven tight-binding lattice. The noise considered is atwo-level jump process or a telegraph process (TP) which jumps randomly betweentwo values $\pm\mu$. In the absence of a static field and in the limit of zerojump rate of the noisy field we find that the dynamics yield Bloch oscillationswith frequency $\mu$, while with an additional static field $\epsilon$ we findoscillatory motion with a superposition of frequencies $(\epsilon \pm \mu)$. Onthe other hand, when the jump rate is `rapid', and in the absence of a staticfield, the stochastic field averages to zero if the two states of the TP areequally probable `a-priori'. In that case, we see a delocalization effect. Theintimate relationship between the rapid relaxation case and the zero field caseis a manifestation of what we call the `Muhammad Ali effect'. It is interestingto note that even for zero static field and rapid relaxation, Blochoscillations ensue if there is a bias $\delta p$ in the probabilities of thetwo levels. Remarkably, the Wannier-Stark localization caused by an additionalstatic field is destroyed if the latter is tuned to be exactly equal andopposite to the average stochastic field $\mu\delta p$. This is an example of\emph{incoherent} destruction of Wannier-Stark localization.

`Muhammad Ali effect' and incoherent destruction of Wannier-Stark localization in a stochastic field