Abstract

We study measures that are obtained as push-forwards of measures of maximal entropy on sofic shifts under digital maps (xk)k∈N↦∑k∈Nxkβ−k, where β>1 is a Pisot number. We characterise the continuity of such measures in terms of the underlying automaton and show a purity result.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call