Multifractal analysis for Bedford-McMullen carpets

作者:Jordan Thomas*; Rams Michal
来源:Mathematical Proceedings of the Cambridge Philosophical Society, 2011, 150(1): 147-156.
DOI:10.1017/S0305004110000472

摘要

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.

  • 出版日期2011-1