The Hausdorff measure of chaotic sets of adjoint shift maps

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• 作者：Wang Huoyun and Song Wangan
• 刊名：Chaos, Solitons and Fractals
• 出版年：2006
• 出版时间：November 2006
• 年：2006
• 卷：30
• 期：4
• 页码：859-863
• 全文大小：126 K

文摘

In this paper, the size of chaotic sets of adjoint shift maps is estimated by Hausdorff measure. We prove that for any adjoint shift map there exists a finitely chaotic set with full Hausdorff measure.