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arXiv · 2510.12980

S-Expansiveness and Zip Shift Maps in Symbolic Dynamics

S. Lamei·P. Mehdipour·W. Vargas
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Abstract

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.

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S. Lamei, P. Mehdipour, W. Vargas. 2025-10-14. S-Expansiveness and Zip Shift Maps in Symbolic Dynamics. https://arxiv.org/abs/2510.12980

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