Block maps between primitive uniform and Pisot substitutions - UTU Research Portal

A1 Refereed original research article in a scientific journal

Block maps between primitive uniform and Pisot substitutions

Authors: Salo V, Torma I

Publisher: CAMBRIDGE UNIV PRESS

Publication year: 2015

Journal:: Ergodic Theory and Dynamical Systems

Journal name in source: ERGODIC THEORY AND DYNAMICAL SYSTEMS

Journal acronym: ERGOD THEOR DYN SYST

Volume: 35

First page : 2292

Last page: 2310

Number of pages: 19

ISSN: 0143-3857

DOI: https://doi.org/10.1017/etds.2014.29

Abstract

In this article, we prove that for all pairs of primitive Pisot or uniform substitutions with the same dominating eigenvalue, there exists a finite set of block maps such that every block map between the corresponding subshifts is an element of this set, up to a shift.