15 citations · 163 across the 28 of their papers we have counts for
5 papers · 1 filter
Disproving the quasi-uniformity of the Halton sequences and of some Halton-type sequences
Takashi Goda, Roswitha Hofer, Kosuke Suzuki
In this short article, we prove that the Halton sequence, one of the most well-known low-discrepancy sequences, is not quasi-uniform in any dimension with any pairwise re…
On the quasi-uniformity properties of quasi-Monte Carlo point sets and sequences -- Part I: Lattices and Kronecker sequences
Josef Dick, Takashi Goda, Gerhard Larcher +2
The discrepancy of a point set quantifies how well the points are distributed, with low-discrepancy point sets demonstrating exceptional uniform distribution properties. Such sets…
On the quasi-uniformity properties of quasi-Monte Carlo point sets and sequences -- Part II: digital nets and sequences
Josef Dick, Takashi Goda, Kosuke Suzuki
We study the quasi-uniformity properties of digital nets, a class of quasi-Monte Carlo point sets. Quasi-uniformity is a space-filling property used for instance in experimental de…
Characterization of digital -nets and digital -sequences in base
Roswitha Hofer, Kosuke Suzuki
We give a characterization of all matrices which generate a -net in base and a characterization of all matrices $B,C\in\mathbb{…
Characterization of matrices such that generates a digital net with -value zero
Hiroki Kajiura, Makoto Matsumoto, Kosuke Suzuki
We study -dimensional digital nets over generated by matrices where is the identity matrix and is a square matrix. We give a characterization…