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S-Expansiveness and Zip Shift Maps in Symbolic Dynamics

2025/10/14 by Sanaz Lamei, Lamei, S., Pouya Mehdipour +3
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Chaos control and synchronization

paper · pdf · doi:10.48550/arxiv.2510.12980

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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