A CONSTRUCTION OF THE SCRAMBLED SET WITH FULL HAUSDORFF DIMENSION FOR BETA-TRANSFORMATIONS
For beta-transformations, we prove that the Lebesgue measure of any measurable scrambled set is zero, and there exists a scrambled set with full Hausdorff dimension.
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2015 ◽
Vol 158
(3)
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pp. 419-437
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2014 ◽
Vol 91
(1)
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pp. 34-40
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Keyword(s):
On Lebesgue measure and Hausdorff dimension of Julia sets of real periodic points of renormalization
2020 ◽
Vol 68
(2)
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pp. 151-168
1998 ◽
Vol 08
(10)
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pp. 1957-1973
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