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- W2963352283 abstract "M. Levin defined a real number x that satisfies that the sequence of the fractional parts of $$(2^n x)_{nge 1}$$ are such that the first N terms have discrepancy $$O((log N)^2/ N)$$ , which is the smallest discrepancy known for this kind of parametric sequences. In this work we show that the fractional parts of the sequence $$(2^n x)_{nge 1}$$ fail to have Poissonian pair correlations. Moreover, we show that all the real numbers x that are variants of Levin’s number using Pascal triangle matrices are such that the fractional parts of the sequence $$(2^n x)_{nge 1}$$ fail to have Poissonian pair correlations." @default.
- W2963352283 created "2019-07-30" @default.
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- W2963352283 date "2019-04-29" @default.
- W2963352283 modified "2023-10-10" @default.
- W2963352283 title "Low discrepancy sequences failing Poissonian pair correlations" @default.
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- W2963352283 doi "https://doi.org/10.1007/s00013-019-01336-3" @default.
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