5 citations · 6 across the 7 of their papers we have counts for
10 papers · 1 filter
Discrepancy bounds for normal numbers generated by necklaces in arbitrary base
Roswitha Hofer, Gerhard Larcher
Mordechay B. Levin has constructed a number which is normal in base 2, and such that the sequence has very small discrepancy . In…
Finding both, the continued fraction and the Laurent series expansion of golden ratio analogs in the field of formal power series
Roswitha Hofer
The focus of this paper is on formal power series analogs of the golden ratio. We are interested in both their continued fractions expansions as well as their Laurent series expans…
Pair Correlations of Niederreiter and Halton Sequences are not Poissonian
Roswitha Hofer, Lisa Kaltenböck
Niederreiter and Halton sequences are two prominent classes of multi-dimensional sequences which are widely used in practice for numerical integration methods because of their exce…
A lower bound on the star discrepancy of generalized Halton sequences in rational bases
Roswitha Hofer
In this paper we extend a result of Levin, who proved a lower bound on the star discrepancy of generalized Halton sequences in positive integer bases, to rational bases.
On hybrid point sets stemming from Halton-type Hammersley point sets and polynomial lattice point sets
Roswitha Hofer
In this paper we consider finite hybrid point sets that are the digital analogs to finite hybrid point sets introduced by Kritzer. Kritzer considered hybrid point sets that are a c…
Kronecker-Halton sequences in
Roswitha Hofer
In this paper we investigate the distribution properties of hybrid sequences which are made by combining Halton sequences in the ring of polynomials and digital Kronecker sequences…