English

The scenery flow of self-similar measures with weak separation condition

Dynamical Systems 2021-07-07 v2

Abstract

We show that self-similar measures on Rd\mathbb{R}^d satisfying the weak separation condition are uniformly scaling. Our approach combines elementary ergodic theory with geometric analysis of the structure given by the weak separation condition.

Keywords

Cite

@article{arxiv.2103.14018,
  title  = {The scenery flow of self-similar measures with weak separation condition},
  author = {Aleksi Pyörälä},
  journal= {arXiv preprint arXiv:2103.14018},
  year   = {2021}
}

Comments

25 pages, 1 figure