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Geometry of the common dynamics of flipped Pisot substitutions


Reference:

Sing, B. and Sirvent, V., 2008. Geometry of the common dynamics of flipped Pisot substitutions. Monatshefte für Mathematik, 155 (3-4), pp. 431-448.

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Official URL:

http://dx.doi.org/10.1007/s00605-008-0004-z

Abstract

In this article we study the common dynamics of two different Pisot substitutions sigma(1) and sigma(2) having the same incidence matrix. This common dynamics arises in the study of the adic systems associated with the substitutions sigma(1) and sigma(2). 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 systems which describe the common dynamics.

Details

Item Type Articles
CreatorsSing, B.and Sirvent, V.
DOI10.1007/s00605-008-0004-z
Uncontrolled Keywordsmodel sets, adic systems, finite automata, substitutions, rauzy fractals
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code12818

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