Complexity function and entropy of induced maps on hyperspaces of continua
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908879017738240 |
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| author | Katić, Jelena Milinković, Darko Perić, Milan |
| author_facet | Katić, Jelena Milinković, Darko Perić, Milan |
| contents | We use the complexity function of an invariant, not necessary closed, subset of a two-sided shift space to compute the polynomial entropy of the induced dynamics on the hyperspace of continua for certain one-dimensional dynamical systems. We also provide a simple criterion for $f$ that implies $C(f)$ has infinite topological entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10644 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Complexity function and entropy of induced maps on hyperspaces of continua Katić, Jelena Milinković, Darko Perić, Milan Dynamical Systems We use the complexity function of an invariant, not necessary closed, subset of a two-sided shift space to compute the polynomial entropy of the induced dynamics on the hyperspace of continua for certain one-dimensional dynamical systems. We also provide a simple criterion for $f$ that implies $C(f)$ has infinite topological entropy. |
| title | Complexity function and entropy of induced maps on hyperspaces of continua |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2603.10644 |