Titre : [FORTHCOMING] Zip-Shift codage des M-TO-1 homéomorphismes locaux 

Auteurs : Pouya Mehdipour
, Sanaz Lamei,  

Revue : Avancées en Mathématiques Pures et Appliquées 

Numéro : Articles à paraître<br> 

Volume :  

Date : 2025/11/19 

DOI : À venir 

ISSN : 1869-6090 

Résumé : We develop topological partitions for m-to-1 local homeomorphisms on compact metric spaces&mdash;maps that arise naturally in non-invertible dynamical systems, such as expanding and covering maps. These partitions enable a symbolic representation of the dynamics via the zip shift, an extended bilateral shift in the non-invertible setting. Inspired by Smale’s horseshoe construction, this approach generalizes topological partitions to a broader class of systems and opens new directions for studying their topological and ergodic properties. 

Éditeur : ISTE OpenScience