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math.DS2016
Generic Points of shift-Invariant Measures in the Countable Symbolic Space
Ai-hua Fan, Ming-tian Li, Ji-hua Ma
We are concerned with sets of generic points for shift-invariant measures in the countable symbolic space. We measure the sizes of the sets by the Billingsley-Hausdorff dimensions…
math.DS2009★ 16 cited
On the frequency of partial quotients of regular continued fractions
Ai-Hua Fan, Lingmin Liao, Ji-Hua Ma
We consider sets of real numbers in with prescribed frequencies of partial quotients in their regular continued fraction expansions. It is shown that the Hausdorff dimensio…