If we have a space, S, with a set of transformations acting upon it, T and a probability distribution, μ over T, with an initial point, , the fractal generated by this iterated function system is defined as follows:
x0=x and xn+1=fn+1(xn) where fn is an element chosen randomly from T with the probability distribution μ. The limit fractal is the set of points in S that are limit points of with probability 1.
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