@ARTICLE{10.21494/ISTE.OP.2026.1442, 

TITLE={Zip-Shift codage des M-TO-1 homéomorphismes locaux}, 
  
AUTHOR={Pouya Mehdipour
, Sanaz Lamei, }, 
	
JOURNAL={Avancées en Mathématiques Pures et Appliquées}, 
	
VOLUME={17}, 

NUMBER={Numéro 2 (Mars 2026)}, 
	
YEAR={2026}, 

URL={https://openscience.fr/Zip-Shift-codage-des-M-TO-1-homeomorphismes-locaux}, 
	
DOI={10.21494/ISTE.OP.2026.1442}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={We develop topological partitions for m-to-1 local homeomorphisms on compact metric spaces—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.}}