On the minimal overlap problem of Erdös
L Moser (1959)
Acta Arithmetica
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L Moser (1959)
Acta Arithmetica
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H. Fredricksen, E. J. Ionascu, F. Luca, P. Stănică (2008)
Acta Arithmetica
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J. Marshall Ash, A. Eduardo Gatto, Stephen Vági (1990)
Colloquium Mathematicae
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Pierre Michel (1975)
Publications mathématiques et informatique de Rennes
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Aikawa, Hiroaki (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Tomasz Downarowicz (2011)
Colloquium Mathematicae
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We construct an example of two commuting homeomorphisms S, T of a compact metric space X such that the union of all minimal sets for S is disjoint from the union of all minimal sets for T. In other words, there are no common minimal points. This answers negatively a question posed in [C-L]. We remark that Furstenberg proved the existence of "doubly recurrent" points (see [F]). Not only are these points recurrent under both S and T, but they recur along the same sequence of powers. Our...
Jürg Schmid, Jürgen Schmidt (1987)
Colloquium Mathematicae
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Zaslavski, Alexander J. (2002)
Abstract and Applied Analysis
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Dusa McDuff (1981)
Annales de l'institut Fourier
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Necessary conditions are found for a Cantor subset of the circle to be minimal for some -diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.
Khalil, R. (2002)
Rendiconti del Seminario Matematico
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Walter H. Gottschalk (1964)
Annales de l'institut Fourier
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Stanimirović, Predrag S. (2000)
Novi Sad Journal of Mathematics
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Wojciech Hyb (1978)
Colloquium Mathematicae
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Ferry Kwakkel (2011)
Fundamenta Mathematicae
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