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Can fractal geometry give better insights into the working of the financial markets or give rise to better financial models? If so, are there any existing models?

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Fractals applied to finance was a research area of Benoît Mandelbrot. He wrote books and research articles in the matter. Looking at his work could be a good way to start with.

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  • $\begingroup$ +1. IIRC, not only fractals give better insights about finance (as the OP is asking), but finance was Mandelbrot's original motivation to develop fractals. $\endgroup$ – Taladris Jun 7 '16 at 10:29

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