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- W2161665514 abstract "The process of symmetrization is often used to construct point sets with low $L_p$ discrepancy. In the current work we apply this method to the shifted Hammersley point set. It is known that for every shift this symmetrized point set achieves an $L_p$ discrepancy of order $mathcal{O}left(sqrt{log{N}}/Nright)$ for $pin [1,infty)$, which is best possible in the sense of results by Roth, Schmidt and Hal'asz. In this paper we present an exact formula for the $L_2$ discrepancy of the symmetrized Hammersley point set, which shows in particular that it is independent of the choice for the shift." @default.
- W2161665514 created "2016-06-24" @default.
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- W2161665514 date "2015-09-06" @default.
- W2161665514 modified "2023-09-27" @default.
- W2161665514 title "An exact formula for the $L_2$ discrepancy of the symmetrized Hammersley point set" @default.
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