English

On the dimension of self-similar measures with complicated overlaps

Dynamical Systems 2020-01-15 v2

Abstract

In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated function system (IFS) {αx,βx,γx+(1γ)}\{\alpha x, \beta x, \gamma x+(1-\gamma)\}. We provide an "almost every" type result by a direct application of the results of Feng and Hu; and Kamalutdinov and Tetenov.

Keywords

Cite

@article{arxiv.1902.04028,
  title  = {On the dimension of self-similar measures with complicated overlaps},
  author = {Balázs Bárány and Edina Szvák},
  journal= {arXiv preprint arXiv:1902.04028},
  year   = {2020}
}