Article
The Pisot conjecture for beta-substitutions
Authors
Marcy Barge
Publication
Ergodic Theory & Dynamical Systems
Abstract
We prove the Pisot conjecture for beta-substitutions: if beta is a Pisot number, then the tiling dynamical system. (Omega(Psi beta), R) associated with the beta-substitution has pure discrete spectrum. As corollaries: (1) arithmetical coding of the hyperbolic solenoidal automorphism associated with the companion matrix of the minimal polynomial of any Pisot number is almost everywhere one-to-one; and (2) all Pisot numbers are weakly finitary.
Links
How is this information collected?
This collection of Montana State authored publications is collected by the Library to highlight the achievements of Montana State researchers and more fully understand the research output of the University. They use a number of resources to pull together as complete a list as possible and understand that there may be publications that are missed. If you note the omission of a current publication or want to know more about the collection and display of this information email Leila Sterman.