Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

Substitutions on two letters, cutting segments and their projections

Sierk W. Rosema — 2007

Journal de Théorie des Nombres de Bordeaux

In this paper we study the structure of the projections of the finite cutting segments corresponding to unimodular substitutions over a two-letter alphabet. We show that such a projection is a block of letters if and only if the substitution is Sturmian. Applying the procedure of projecting the cutting segments corresponding to a Christoffel substitution twice results in the original substitution. This induces a duality on the set of Christoffel substitutions.

Page 1

Download Results (CSV)