Geometry of the Common Dynamics of Flipped Pisot Substitutions
نویسندگان
چکیده
In this article we study the common dynamics of two different Pisot substitutions σ1 and σ2 having the same incidence matrix. This common dynamics arises in the study of the adic systems associated with the substitutions σ1 and σ2. Since the adic systems considered here have geometric realizations given by solutions to graph-directed iterated function systems, we actually study topological and measure-theoretic properties of the solution of those iterated function sytems which describe the common dynamics. We also consider generalizations of these results to the nonunimodular case, the case of more than 2 substitutions and the case of two substitutions with different incidence matrices.
منابع مشابه
Common dynamics of two Pisot substitutions with the same incidence matrix
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