English

On half-synchronized systems

Dynamical Systems 2016-01-19 v1

Abstract

A subclass of coded systems containing synchronized systems is the family of half-synchronized systems. In this note, we will consider them and show that the property half-synchronized lifts under hyperbolic maps. This enables us to define an equivalence relation on the set of half-synchronized systems. Also, when the domain is half-synchronized, we show that right-closing a.e., 1-1 a.e. factor maps have a strong decoding property.

Keywords

Cite

@article{arxiv.1601.04202,
  title  = {On half-synchronized systems},
  author = {Somayyeh Jangjooye Shaldehi},
  journal= {arXiv preprint arXiv:1601.04202},
  year   = {2016}
}
R2 v1 2026-06-22T12:30:50.084Z