/sci/ - Science & Math

Hey /sci/, I am interested in analyzing a set data for multi fractals. I know pretty much nothing about them however.

http://www.lps.ens.fr/~risc/rescomp/Antonio/PAPERS/preprint3.pdf
This paper is what I've been using but it's a bit above my level, so a stepping stone or a more gentle introduction would be appreciated.
Can anyone recommend a textbook that explains them?

Also fractals are cool and I'd be interested to hear what people know about them or how they are using them in their work.

Volume is the power at which volume increases.

Example: You have some length a that parametrises a geometric shape. You compute the dimension of that geometric shape as the exponent which gives you the volume depending on the basic length a.

I.e if your geometric shape is just a line given by the length a then the "volume" is simply a, thus the dimension is 1.
If your shape is a square your volume is a^2 and thus your dimension is 2.
If your sahpe is a cube your volume is a^3, thus dimension is 3.

Now for the funky stuff, you can define shapes with dimensions that are not intergers or even rationals, i.e. if you pick the shape of a sierpinski triangle.

Just to give a non algebraic notion of dimension.