Dimension of Besicovitch-Eggleston sets for non-autonomous systems with countable symbolic dynamics
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915318328197120 |
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| author | Imbierski, Jonny Kalle, Charlene |
| author_facet | Imbierski, Jonny Kalle, Charlene |
| contents | In this article we derive a formula for the Hausdorff dimension of Besicovitch-Eggleston level sets associated with non-autonomous dynamics constructed from families of countable affine iterated function systems. The formula obtained shows that the universal-lower-bound phenomenon present in the autonomous case studied by Fan et al. (2010) persists in this non-autonomous setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01803 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dimension of Besicovitch-Eggleston sets for non-autonomous systems with countable symbolic dynamics Imbierski, Jonny Kalle, Charlene Dynamical Systems 11K55, 37H99 In this article we derive a formula for the Hausdorff dimension of Besicovitch-Eggleston level sets associated with non-autonomous dynamics constructed from families of countable affine iterated function systems. The formula obtained shows that the universal-lower-bound phenomenon present in the autonomous case studied by Fan et al. (2010) persists in this non-autonomous setting. |
| title | Dimension of Besicovitch-Eggleston sets for non-autonomous systems with countable symbolic dynamics |
| topic | Dynamical Systems 11K55, 37H99 |
| url | https://arxiv.org/abs/2506.01803 |