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The current paper is a corrected version of our previous paperarXiv:adap-org/9608001. Similarly to previous version we investigate theproblem of flame propagation. This problem is studied as an example of unstablefronts that wrinkle on many scales. The analytic tool of pole expansion in thecomplex plane is employed to address the interaction of the unstable growthprocess with random initial conditions and perturbations. We argue that theeffect of random noise is immense and that it can never be neglected insufficiently large systems. We present simulations that lead to scaling lawsfor the velocity and acceleration of the front as a function of the system sizeand the level of noise, and analytic arguments that explain these results interms of the noisy pole dynamics.This version corrects some very criticalerrors made in arXiv:adap-org/9608001 and makes more detailed description ofexcess number of poles in system, number of poles that appear in the system inunit of time, life time of pole. It allows us to understand more correctlydependence of the system parameters on noise than in arXiv:adap-org/9608001

Flame front propagation IV: Random Noise and Pole-Dynamics in Unstable Front Propagation II