Abstract

Tent maps are continuous composites of two linear functions that act on the unit interval. In the present paper, we describe and analyse a connection between dynamical systems induced by tent maps and the dynamics induced by a certain type of beta-expansion. This relation, which is a weaker form of measure-theoretical conjugacy of dynamical systems, allows us to transfer statements concerning the periodicity of orbits, but it turns out that the underlying symbolic dynamical systems are not connected via a finite state transducer.