Block Maps between Primitive Uniform and Pisot Substitutions

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.

arXiv comment21 pages. Minor corrections to grammar and some proofs. To appear in Ergodic Theory and Dynamical Systems after editorial input by Cambridge University Press. Copyright held by Cambridge University Press

References in corpus (1)

• Necessary and sufficient conditions for a dynamical system to be topologically conjugate to a given substitution minimal system

Cited by in corpus (2)

• Characteristic measures of symbolic dynamical systems
• Decidability of the isomorphism problem between multidimensional substitutive subshifts