Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4666502 | Advances in Mathematics | 2011 | 27 Pages |
Abstract
This note is concerned with the quantitative recurrence properties of beta dynamical system ([0,1],Tβ)([0,1],Tβ) for general β>1β>1; the size of points with the prescribed recurrence rate is determined. More precisely, Hausdorff dimensions of the sets{x∈[0,1]:|Tβnx−x|<ψ(n) for infinitely many n∈N} and{x∈[0,1]:|Tβnx−x|
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Bo Tan, Bao-Wei Wang,