On the discrepancy of irrational rotations with isolated large partial quotients: long term effects (Q343276)
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scientific article; zbMATH DE number 6656703
| Language | Label | Description | Also known as |
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| English | On the discrepancy of irrational rotations with isolated large partial quotients: long term effects |
scientific article; zbMATH DE number 6656703 |
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On the discrepancy of irrational rotations with isolated large partial quotients: long term effects (English)
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25 November 2016
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This is an interesting continuation of the first part of this paper [Unif. Distrib. Theory 9, No. 2, 31--57 (2014; Zbl 1384.11083)], where the author and \textit{K. Takashima} studied discrepancies \(D_N\) of irrational rotations with isolated large partial quotients. In the graphical representation of the discrepancy function of these sequences ``parabola-like hills'' occur and this paper gives an insight to this phenomena for a very large range of \(N\).
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discrepancy
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irrational rotation
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continued fraction
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Ostrowski representation
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