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- W3151741458 abstract "For any β1,let([0,1],Tβ) be the beta dynamical system.For a positive function ψ:N→R+ and a real number x0 ∈[0,1],we define D(Tβ,ψ,x0) the set of ψ-well approximable points by x0as {x∈[0,1]:|Tβnx-x0|ψ(n) for infinitely many n∈N}.In this note,by proving a structure lemma that any ball B(x,r) contains a regular cylinder of comparable length with r,we determine the Hausdorff dimension of the set D(Tβ,ψ,x0) completely for any β1 and any positive function ψ." @default.
- W3151741458 created "2021-04-13" @default.
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- W3151741458 date "2013-01-01" @default.
- W3151741458 modified "2023-09-24" @default.
- W3151741458 title "Shrinking target problems for beta-dynamical system" @default.
- W3151741458 hasPublicationYear "2013" @default.
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