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Minimal flows arising from substitutions of non-constant length. (English) Zbl 0256.54026

MSC:
54H20 Topological dynamics (MSC2010)
28D05 Measure-preserving transformations
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References:
[1] E. M. Coven, Endomorphisms of substitution minimal sets, preprint. · Zbl 0211.56405
[2] E. M. Coven andM. S. Keane, The Structure of substitution minimal sets, to appear. · Zbl 0205.28303
[3] W. H. Gottschalk, Substitution minimal sets,Trans. Amer. Math. Soc. 109 (1963), 467–491. · Zbl 0121.18002 · doi:10.1090/S0002-9947-1963-0190915-6
[4] W. H. Gottschalk andG. A. Hedlund,Topological Dynamics, Amer. Math. Soc. Colloq. Publ., Providence, 1955. · Zbl 0067.15204
[5] M. S. Keane, Generalized Morse sequences,Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 10 (1968), 335–353. · Zbl 0162.07201 · doi:10.1007/BF00531855
[6] H. B. Keynes, The proximal relation in a class of substitution minimal sets,Math. Systems Theory 1 (1967), 165–174. · Zbl 0152.21701 · doi:10.1007/BF01705526
[7] J. C. Martin, Substitution minimal flows,Amer. J. Math. 93 (1971), 503–526. · Zbl 0221.54039 · doi:10.2307/2373391
[8] M. Morse,Symbolic Dynamics, Institute for Advanced Study, Lecture Notes, 1966. · Zbl 0164.22201
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