S-Expansiveness and Zip Shift Maps in Symbolic Dynamics

Fuente: arXiv
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Autori principali: Lamei, S., Mehdipour, P., Vargas, W.
Natura: Preprint
Pubblicazione: 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