Exceptions in the domain of generic absolute continuity of non-homogeneous self-similar measures
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912869288771584 |
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| author | Neunhäuserer, Jörg |
| author_facet | Neunhäuserer, Jörg |
| contents | Non-homogeneous self-similar measures are generically absolute continuous in the domain of parameters for which the similarity dimension is larger than one, see \cite{[SSS]}. Using certain algebraic curves we construct here exceptional singular non-homogeneous self-similar measures in this domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exceptions in the domain of generic absolute continuity of non-homogeneous self-similar measures Neunhäuserer, Jörg Dynamical Systems 28A80, 14H15 Non-homogeneous self-similar measures are generically absolute continuous in the domain of parameters for which the similarity dimension is larger than one, see \cite{[SSS]}. Using certain algebraic curves we construct here exceptional singular non-homogeneous self-similar measures in this domain. |
| title | Exceptions in the domain of generic absolute continuity of non-homogeneous self-similar measures |
| topic | Dynamical Systems 28A80, 14H15 |
| url | https://arxiv.org/abs/2410.08785 |