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S-Expansiveness and Zip Shift Maps in Symbolic Dynamics

Published 14 Oct 2025 in math.DS and nlin.CD | (2510.12980v1)

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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