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- W846994206 abstract "Abstract It was conjectured by Furstenberg that for any x ∈ [ 0 , 1 ] ∖ Q , dim H { 2 n x ( mod 1 ) : n ≥ 1 } ¯ + dim H { 3 n x ( mod 1 ) : n ≥ 1 } ¯ ≥ 1 , where dim H denotes the Hausdorff dimension and A ¯ denotes the closure of a set A. When x is a normal number, the above result holds trivially. In this note, we are aiming at giving explicit non-normal numbers for which the above dimensional formula holds." @default.
- W846994206 created "2016-06-24" @default.
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- W846994206 date "2015-08-01" @default.
- W846994206 modified "2023-09-27" @default.
- W846994206 title "A note on the points with dense orbit under the expansions of different bases" @default.
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- W846994206 doi "https://doi.org/10.1016/j.chaos.2015.06.003" @default.
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