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math.NT2023
New Bounds for the Extreme and the Star Discrepancy of Double-Infinite Matrices
Jasmin Fiedler, Michael Gnewuch, Christian Weiß
According to Aistleitner and Weimar, there exist two-dimensional (double) infinite matrices whose star-discrepancy of the first rows and columns, interpreted as…
math.NT2022
The Pair Correlation Function of Multi-Dimensional Low-Discrepancy Sequences with Small Stochastic Error Terms
Anja Schmiedt, Christian Weiß
In any dimension , there is no known example of a low-discrepancy sequence which possess Poisssonian pair correlations. This is in some sense rather surprising, because l…