Derived Shift Space of Coded Systems and Synchronized Entropy of Totally Synchronizing Generated Systems

Document Type : Original Article

Authors

Manouchehr Shahamat

Omid Yousefikia

Department of Mathematics‎, ‎Dez‎. ‎C.‎, ‎Islamic Azad University‎, ‎Dezful‎, ‎Iran ‎‎

10.22067/kjm.2026.537131.3636

Abstract

‎Our aim is to introduce a class of minimally generated systems generated by some certain synchronizing blocks called totally synchronizing generated system‎.
‎ This has been used to give a new shorter proof for computing synchronized entropy $h_{syn}(X)$‎. ‎Also‎, ‎the derived shift space has been characterized as well‎.

Keywords

‎Strong synchronizing‎

‎Entropy

‎‎Minimal generator

Subjects

• 37 Dynamical systems and ergodic theory

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