Abstract
The multifractal decomposition of Gibbs measures for a conformal iterated function system is well known. We look at a finer decomposition which also takes into account the rate of convergence. This is motivated by the work of Olsen in the self-similar case. Our study of this finer decomposition involves investigation of the variance of Gibbs measures. This is a problem of independent interest.
| Translated title of the contribution | Multifractal analysis and the variance of Gibbs measures |
|---|---|
| Original language | English |
| Pages (from-to) | 57 - 72 |
| Number of pages | 16 |
| Journal | Journal of the London Mathematical Society |
| Volume | 76 (1) |
| DOIs | |
| Publication status | Published - Aug 2007 |