The sequence entropy for Morse shifts and some counterexamples
Mariusz Lemańczyk (1985)
Studia Mathematica
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Mariusz Lemańczyk (1985)
Studia Mathematica
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François Blanchard (1993)
Bulletin de la Société Mathématique de France
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Wen Huang, Alejandro Maass, Xiangdong Ye (2004)
Annales de l’institut Fourier
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In this paper we explore topological factors in between the Kronecker factor and the maximal equicontinuous factor of a system. For this purpose we introduce the concept of sequence entropy -tuple for a measure and we show that the set of sequence entropy tuples for a measure is contained in the set of topological sequence entropy tuples [H- Y]. The reciprocal is not true. In addition, following topological ideas in [BHM], we introduce a weak notion and a strong notion of complexity...
Eli Glasner, Benjamin Weiss (1994)
Bulletin de la Société Mathématique de France
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Bobok, J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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T. Downarowicz, Y. Lacroix (1998)
Studia Mathematica
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Let be a minimal non-periodic flow which is either symbolic or strictly ergodic. Any topological extension of is Borel isomorphic to an almost 1-1 extension of . Moreover, this isomorphism preserves the affine-topological structure of the invariant measures. The above extends a theorem of Furstenberg-Weiss (1989). As an application we prove that any measure-preserving transformation which admits infinitely many rational eigenvalues is measure-theoretically isomorphic to a strictly...
Yang, Xiao-Song, Bai, Xiaoming (2006)
Discrete Dynamics in Nature and Society
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Yang, Xiao-Song (2005)
Discrete Dynamics in Nature and Society
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