S-Expansiveness and Zip Shift Maps in Symbolic Dynamics
Dynamical Systems
2025-10-16 v1 Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.2510.12980,
title = {S-Expansiveness and Zip Shift Maps in Symbolic Dynamics},
author = {S. Lamei and P. Mehdipour and W. Vargas},
journal= {arXiv preprint arXiv:2510.12980},
year = {2025}
}