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) |
Persistent link: | http://urn.fi/urn:nbn:fi-fe2022122173074 |
Language: | English |
Published: |
Cambridge University Press,
2022
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Publish Date: | 2022-12-21 |
Description: |
AbstractWe 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. see all
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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 |
OADOI: | https://oadoi.org/10.1017/etds.2021.86 |
Type of Publication: |
A1 Journal article – refereed |
Field of Science: |
111 Mathematics |
Subjects: | |
Copyright information: |
© 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/ |