Optimal order of $L_p$-discrepancy of digit shifted Hammersley point sets in dimension 2

Aicke Hinrichs, Ralph Kritzinger, Friedrich Pillichshammer

It is well known that the two-dimensional Hammersley point set consisting of $N=2^n$ elements (also known as Roth net) does not have optimal order of $L_p$-discrepancy for $p \in (…