Can I read Homomorphisms to $\mathbb{R}$ of automorphism groups of zero entropy shifts on EtoBox?

Homomorphisms to $\mathbb{R}$ of automorphism groups of zero entropy shifts by Tamuz, Omer is a scholarly article available to read on EtoBox.

What is Homomorphisms to $\mathbb{R}$ of automorphism groups of zero entropy shifts about?

We show that the automorphism group of every zero entropy infinite shift admits a "drift" homomorphism to $(\mathbb{R},+)$ that maps the shift map to 1. This homomorphism arises as the expectation, under an invariant measure, of a cocycle defined on a space of asymptotic pairs.

Author

Tamuz, Omer

Published

2021

Language

EN