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|
|Pages (from-to)||147 - 156|
|Number of pages||10|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Volume||150, number 1|
|Publication status||Published - Jan 2011|