English

Multifractal analysis of a class of self-affine Moran sets

Classical Analysis and ODEs 2023-09-18 v1

Abstract

In the paper, we investigate the fine multifractal spectrum of a class of self-affine Moran sets with fixed frequencies, and we prove that under certain separation conditions, the fine multifractal spectrum H(α)H(\alpha) is given by the formula H(α)=inf<t<+{αt+β(t)}. H(\alpha)=\inf_{-\infty<t<+\infty} \{\alpha t+\beta(t)\}.

Keywords

Cite

@article{arxiv.2309.08148,
  title  = {Multifractal analysis of a class of self-affine Moran sets},
  author = {Yifei Gu and Chuanyan Hou and Jun Jie Miao},
  journal= {arXiv preprint arXiv:2309.08148},
  year   = {2023}
}