Transactions of the American Mathematical Society

Author(s): Vincent Canterini; Anne Siegel
Journal: Trans. Amer. Math. Soc. 353 (2001), 5121-5144.
MSC (2000): Primary 37B10, 28A80; Secondary 47A35
Posted: July 13, 2001
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We prove that a substitutive dynamical system of Pisot type contains a factor which is isomorphic to a minimal rotation on a torus. If the substitution is unimodular and satisfies a certain combinatorial condition, we prove that the dynamical system is measurably conjugate to an exchange of domains in a self-similar compact subset of the Euclidean space.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 37B10, 28A80, 47A35

Vincent Canterini
Affiliation: Institut de Mathématiques de Luminy, UPR 9016, Case 907, 163 avenue de Luminy, 13288 Marseille Cedex 9, France
Address at time of publication: CESAME, Université Catholique de Louvain, Bâtiment Euler, Avenue G. Lemairè, 4, 1348 Louvain-la-Neuve, Belgium
Email: canterini@anma.ucl.ac.be

Anne Siegel
Affiliation: Institut de Mathématiques de Luminy, UPR 9016, Case 907, 163 avenue de Luminy, 13288 Marseille Cedex 9, France
Email: siegel@iml.univ-mrs.fr

DOI: 10.1090/S0002-9947-01-02797-0
PII: S 0002-9947(01)02797-0
Keywords: Substitutive dynamical system, toral translation, factor map, domain exchange
Received by editor(s): February 1, 2000
Received by editor(s) in revised form: August 12, 2000
Posted: July 13, 2001
Copyright of article: Copyright 2001, American Mathematical Society

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