TY - Type of reference TI - [FORTHCOMING] Zip-Shift codage des M-TO-1 homéomorphismes locaux AU - Pouya Mehdipour AU - Sanaz Lamei AB - 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. DO - À venir JF - Avancées en Mathématiques Pures et Appliquées KW - zip shift, topological partition, local homeomorphisms, zip shift, topological partition, local homeomorphisms, L1 - LA - fr PB - ISTE OpenScience DA - 2025/11/19 SN - 1869-6090 TT - [FORTHCOMING] Zip Shift encoding of M-TO-1 local homeomorphisms UR - https://www.openscience.fr/Zip-Shift-codage-des-M-TO-1-homeomorphismes-locaux IS - Articles à paraître
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