On half-synchronized systems

2016/01/16 by Shaldehi, Somayyeh Jangjooye
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1601.04202

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.

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