Frostman and Fourier characterisations of fractal dimensions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917185069252608 |
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| author | Falconer, Kenneth J. Zhang, Shuqin |
| author_facet | Falconer, Kenneth J. Zhang, Shuqin |
| contents | We examine Frostman-type characterisations and other extremal measure criteria for a range of fractal dimensions of sets. In particular we derive properties of the less familiar modified lower box dimension and upper correlation dimension. We also express a number of fractal dimensions in terms of Fourier properties of measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_21217 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Frostman and Fourier characterisations of fractal dimensions Falconer, Kenneth J. Zhang, Shuqin Metric Geometry 28A80 We examine Frostman-type characterisations and other extremal measure criteria for a range of fractal dimensions of sets. In particular we derive properties of the less familiar modified lower box dimension and upper correlation dimension. We also express a number of fractal dimensions in terms of Fourier properties of measures. |
| title | Frostman and Fourier characterisations of fractal dimensions |
| topic | Metric Geometry 28A80 |
| url | https://arxiv.org/abs/2505.21217 |