The multifractal spectrum of statistically self-similar measures
- Cite this article as:
- Falconer, K.J. J Theor Probab (1994) 7: 681. doi:10.1007/BF02213576
We calculate the multifractal spectrum of a random measure constructed using a statistically self-similar process. We show that with probability one there is a multifractal decomposition analogous to that in the deterministic self-similar case, with the exponents given by the solution of an expectation equation.