3 papers
math.NA2026
Quasi-Monte Carlo with a Hankel random digital net
Takashi Goda, Yang Liu, Raúl Tempone
This paper proposes a new randomized design of digital nets in which the generating matrices are chosen to be random Hankel matrices. Compared with previous randomized designs of d…
stat.ME2026
Space-filling lattice designs for computer experiments
Naoki Sakai, Takashi Goda
This paper investigates the construction of space-filling designs for computer experiments. The space-filling property is characterized by the covering and separation radii of a de…
math.NT2024
One-dimensional quasi-uniform Kronecker sequences
Takashi Goda
In this short note, we prove that the one-dimensional Kronecker sequence is quasi-uniform if and only if is a badly approximable number. Our elemen…