  The problem of flame propagation is studied as an example of unstable fronts
that wrinkle on many scales is studied. The analytic tool of pole expansion in
the complex plane is emloyed to address the interaction of the unstable growth
process with random initial conditions and perturbations.
  We argue that the effect of random noise is immense and that it can never be
neglected in sufficiently large systems. We present simulations that lead to
scaling laws for the velocity and acceleration of the front as a function of
the system size and the level of noise, and analytic arguments that explain
these results in terms of the noisy pole dynamics.
