Strong mixing subshift of finite type and Hausdorff measure of its chaotic set |
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Authors: | Wan Gan Song Zhi Hu Hua Ming Wu |
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Institution: | (1) Univ. de la Méditerranée, IML, Case 907 163 av. de Luminy, 13288 Marseille Cedex 09, France, |
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Abstract: | We present a sufficient and necessary condition for the subshift of finite type to be a measure-preserving transformation
or to be a strong mixing measure-preserving transformation with respect to the Hausdorff measure. It is proved that a strong
mixing subshift of finite type has a chaotic set with full Hausdorff measure. |
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Keywords: | Symbolic space a finite subshift chaotic set Hausdorff measure |
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