Optimal and typical $$L^2$$ discrepancy of 2-dimensional lattices
Bence Borda
Abstract:We undertake a detailed study of the $$L^2$$
L
2
discrepancy of 2-dimensional Korobov lattices and their irrational analogues, either with or without symmetrization. We give a full characterization of such lattices with optimal $$L^2$$
L
2
discrepancy in terms of the continued fraction partial quotients, and compute the precise asymptotics whe… Show more
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