Self-affine sponges with random contractions
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908352956596224 |
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| author | Bárány, Balázs Käenmäki, Antti Rams, Michał |
| author_facet | Bárány, Balázs Käenmäki, Antti Rams, Michał |
| contents | We compute the almost sure Hausdorff dimension of random self-affine sponges in $\mathbb{R}^d$ without imposing any separation conditions. In this context, randomness arises from the matrices in the defining semigroup, which are random yet the corresponding affine maps share a fixed point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04383 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-affine sponges with random contractions Bárány, Balázs Käenmäki, Antti Rams, Michał Dynamical Systems Probability Primary 28A80, 37C45, Secondary 60D05 We compute the almost sure Hausdorff dimension of random self-affine sponges in $\mathbb{R}^d$ without imposing any separation conditions. In this context, randomness arises from the matrices in the defining semigroup, which are random yet the corresponding affine maps share a fixed point. |
| title | Self-affine sponges with random contractions |
| topic | Dynamical Systems Probability Primary 28A80, 37C45, Secondary 60D05 |
| url | https://arxiv.org/abs/2505.04383 |