Block Maps between Primitive Uniform and Pisot Substitutions

Abstract:

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. This result is proved using a common generalization of block maps and substitutions, which we call dill maps.

Posted on Nov 13, 2013 in Dynamical Systems, Seminars