Characteristic measures of symbolic dynamical systems

Abstract

A probability measure is a characteristic measure of a topological dynamical system if it is invariant to the automorphism group of the system. We show that zero entropy shifts always admit characteristic measures. We use similar techniques to show that automorphism groups of minimal zero entropy shifts are sofic.

9 pages

References in corpus (1)

• Block Maps between Primitive Uniform and Pisot Substitutions

Cited by in corpus (1)

• Minimal subdynamics and minimal flows without characteristic measures