A note on Farey sequences and Hausdorff dimension

نویسنده

  • Wellington da Cruz
چکیده

We prove that the Farey sequences can be express into equivalence classes labeled by a fractal parameter which looks like a Hausdorff dimension h defined within the interval 1 < h < 2. The classes h satisfy the same properties of the Farey series and for each value of h there exists an algebraic equation. PACS numbers: 02.10.Lh, 02.30.Lt

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تاریخ انتشار 2008