3 papers
math.DS2025
S-Expansiveness and Zip Shift Maps in Symbolic Dynamics
S. Lamei, P. Mehdipour, W. Vargas
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-expan…
math.DS2025
An N-to-1 Smale Horseshoe
Sanaz Lamei, Pouya Mehdipour
In this work we extend the Conley-Moser Theorem for -to-1 local diffeomorphisms. By the aim of some extended symbolic dynamics we encode generalized -to-1 horseshoe maps and…
math.DS2025
Zip shift Space
Sanaz Lamei, Pouya Mehdipour
We introduce a new extension in symbolic dynamics on two sets of alphabets, called the zip shift space. In finite case, it represents a finite-to-1 local homeomorphism called zip s…