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Block maps between primitive uniform and Pisot substitutions

Published online by Cambridge University Press:  04 August 2014

VILLE SALO Open the ORCID record for VILLE SALO [Opens in a new window]  and
ILKKA TÖRMÄ
VILLE SALO
Affiliation:
TUCS – Turku Centre for Computer Science, University of Turku, Finland email vosalo@utu.fi, iatorm@utu.fi
ILKKA TÖRMÄ
Affiliation:
TUCS – Turku Centre for Computer Science, University of Turku, Finland email vosalo@utu.fi, iatorm@utu.fi
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 35 , Issue 7 , October 2015 , pp. 2292 - 2310
Copyright
© Cambridge University Press, 2014 

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