University of Oulu

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

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

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Author: Pyörälä, Aleksi1
Organizations: 1Research Unit of Mathematical Sciences, University of Oulu, PO Box 8000, FI-90014, Oulu, Finland
Format: article
Version: accepted version
Access: open
Online Access: PDF Full Text (PDF, 0.3 MB)
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Language: English
Published: Cambridge University Press, 2022
Publish Date: 2022-12-21


We show that self-similar measures on ℝ 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.

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Series: Ergodic theory and dynamical systems
ISSN: 0143-3857
ISSN-E: 1469-4417
ISSN-L: 0143-3857
Volume: 42
Issue: 10
Pages: 3167 - 3190
DOI: 10.1017/etds.2021.86
Type of Publication: A1 Journal article – refereed
Field of Science: 111 Mathematics
Copyright information: © The Author(s), 2021. Published by Cambridge University Press. Accepted Manuscript published under the Creative Commons CC-BY-NC-ND license.