Multifractal analysis for Bedford-McMullen carpets
Dynamical Systems
2009-11-05 v2
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.
Cite
@article{arxiv.0909.0210,
title = {Multifractal analysis for Bedford-McMullen carpets},
author = {Thomas Jordan and Michal Rams},
journal= {arXiv preprint arXiv:0909.0210},
year = {2009}
}
Comments
11 pages. We have added more detail to the proofs of lemmas 2,3 and 4 as well as correcting a few errors