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| | Q29: | What are multifractals? |
| | A29: | It is not easy to give a succinct definition of multifractals. |
| Following Feder (1988) one may distinguish a measure (of probability, or some |
| physical quantity) from its geometric support - which might or might not have |
| fractal geometry. Then if the measure has different fractal dimension on |
| different parts of the support, the measure is a multifractal. |
| Hastings and Sugihara (1993) distinguish multifractals from multiscaling |
| fractals - which have different fractal dimensions at different scales (e.g. |
| show a break in slope in a dividers plot, or some other power law). I believe |
| different authors use different names for this phenomenon, which is often |
| confused with true multifractal behaviour. |
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