Multifractal analysis for Bedford-McMullen carpets

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.
Comment: 11 pages. We have added more detail to the proofs of lemmas 2,3 and 4 as well as correcting a few errors