# Multifractal f(a) Curve

1. Mar 2, 2007

### quark80

Has anybody ever come across a dataset which does the following?

I use the continuous multifractal (method of moments) technique to derive for a range of q
$$\tau , \alpha , f(\alpha )$$

However I find that $$f(\alpha ) = \alpha$$ for every value q being examined. Therefore there is strictly no hyperbola for the f(a) curve and the data is therefore can't be multifractal. Right?

2. Mar 3, 2007

### quark80

Never mind.

Found a paper which discusses the issue in relation to Cantor sets :)

Apparently it just means that it's mono-fractal and not multifractal. Which is what I thought, this paper just confirmed it.

Mods feel free to delete post if necessary.

3. Oct 8, 2011