Didn't Mandelbrot write a book on money exchanges
and patterns? Assuming there is something more than
numerology in there (I haven't read his
work), then such findings could be directly applicable.
Perhaps more on topic, it has been shown that the
problem whether a given number belongs "inside" a
geometrical fractal (that is, whether it converges on iterating
a function with it as an initial argument) is not decidable.