Abstract
In this paper we compute the multifractal analysis for local dimensions of Bernoulli measures supported on the self-affine carpets introduced by Bedford–McMullen. This extends the work of King where the multifractal analysis is computed with strong additional separation assumptions.
| Translated title of the contribution | Multifractal analysis for Bedford-McMullen carpets |
|---|---|
| Original language | English |
| Pages (from-to) | 147 - 156 |
| Number of pages | 10 |
| Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
| Volume | 150, number 1 |
| DOIs | |
| Publication status | Published - Jan 2011 |