The scenery flow of self-similar measures with weak separation condition
Pyörälä, Aleksi (2021-08-06)
Pyörälä, Aleksi
Cambridge University Press
06.08.2021
PYÖRÄLÄ, A. (2022). The scenery flow of self-similar measures with weak separation condition. Ergodic Theory and Dynamical Systems, 42(10), 3167-3190. doi:10.1017/etds.2021.86
https://creativecommons.org/licenses/by-nc-nd/4.0/
© The Author(s), 2021. Published by Cambridge University Press. Accepted Manuscript published under the Creative Commons CC-BY-NC-ND license.
https://creativecommons.org/licenses/by-nc-nd/4.0/
© The Author(s), 2021. Published by Cambridge University Press. Accepted Manuscript published under the Creative Commons CC-BY-NC-ND license.
https://creativecommons.org/licenses/by-nc-nd/4.0/
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe2022122173074
https://urn.fi/URN:NBN:fi-fe2022122173074
Tiivistelmä
Abstract
We show that self-similar measures on ℝᵈ 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.
Kokoelmat
- Avoin saatavuus [31995]