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- W3089727322 abstract "We study the non-uniformity of probability measures on the interval and circle. On the interval, we identify the Wasserstein-p distance with the classical $$L^p$$ -discrepancy. We thereby derive sharp estimates in Wasserstein distances for the irregularity of distribution of sequences on the interval and circle. Furthermore, we prove an $$L^p$$ -adapted Erdős–Turán inequality, and use it to extend a well-known bound of Pólya and Vinogradov on the equidistribution of quadratic residues in finite fields." @default.
- W3089727322 created "2020-10-08" @default.
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- W3089727322 date "2020-09-29" @default.
- W3089727322 modified "2023-10-16" @default.
- W3089727322 title "Irregularity of Distribution in Wasserstein Distance" @default.
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- W3089727322 doi "https://doi.org/10.1007/s00041-020-09786-y" @default.
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