The Halton sequence and its discrepancy in the Cantor expansion
The Halton sequence and its discrepancy in the Cantor expansion
We consider variants of the Halton sequence in a generalized numeration system, called the Cantor expansion. We show that it provides a wealth of low-discrepancy sequences by giving an estimate of the (star) discrepancy of the Halton sequence in each bounded Cantor base. The techniques used in our estimation of …