Multifractal analysis for Bedford-McMullen carpets
arXiv:0909.0210
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.
11 pages. We have added more detail to the proofs of lemmas 2,3 and 4 as well as correcting a few errors