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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.06012 |
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| _version_ | 1866910400552894464 |
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| author | Shaw, Eve Vellis, Vyron |
| author_facet | Shaw, Eve Vellis, Vyron |
| contents | An infinite iterated function system (IIFS) is a countable collection of contraction maps on a compact metric space. In this paper we study the conditions under which the attractor of a such system admits a parameterization by a continuous or Hölder continuous map of the unit interval. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_06012 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Parametrizability of infinitely generated attractors Shaw, Eve Vellis, Vyron Metric Geometry Dynamical Systems 28A80, 26A16, 28A75, 53A04 An infinite iterated function system (IIFS) is a countable collection of contraction maps on a compact metric space. In this paper we study the conditions under which the attractor of a such system admits a parameterization by a continuous or Hölder continuous map of the unit interval. |
| title | Parametrizability of infinitely generated attractors |
| topic | Metric Geometry Dynamical Systems 28A80, 26A16, 28A75, 53A04 |
| url | https://arxiv.org/abs/2304.06012 |