S-Expansiveness and Zip Shift Maps in Symbolic Dynamics
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arXiv
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| Format: | Preprint |
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2025
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| author | Lamei, S. Mehdipour, P. Vargas, W. |
| author_facet | Lamei, S. Mehdipour, P. Vargas, W. |
| contents | In this paper, we introduce the concept of S-expansiveness for local homeomorphisms and demonstrate that a class of extended symbolic dynamics, known as zip shift maps, are S-expansive and possess the shadowing property. Furthermore, we prove that any S-expansive local homeomorphism is a factor of a zip shift map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12980 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | S-Expansiveness and Zip Shift Maps in Symbolic Dynamics Lamei, S. Mehdipour, P. Vargas, W. Dynamical Systems Chaotic Dynamics Primary: 37Dxx. Secondary: 37D20, 37D45, 26A18, 28D80, 28D05 In this paper, we introduce the concept of S-expansiveness for local homeomorphisms and demonstrate that a class of extended symbolic dynamics, known as zip shift maps, are S-expansive and possess the shadowing property. Furthermore, we prove that any S-expansive local homeomorphism is a factor of a zip shift map. |
| title | S-Expansiveness and Zip Shift Maps in Symbolic Dynamics |
| topic | Dynamical Systems Chaotic Dynamics Primary: 37Dxx. Secondary: 37D20, 37D45, 26A18, 28D80, 28D05 |
| url | https://arxiv.org/abs/2510.12980 |