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Low Discrepancy Digital Kronecker-Van der Corput Sequences

Low Discrepancy Digital Kronecker-Van der Corput Sequences

The discrepancy of a sequence measures how quickly it approaches a uniform distribution. Given a natural number $d$, any collection of one-dimensional so-called low discrepancy sequences $\left\{S_i:1\le i \le d\right\}$ can be concatenated to create a $d$-dimensional $\textit{hybrid sequence}$ $(S_1,\dots,S_d)$. Since their introduction by Spanier in 1995, many connections between …