6 citations · 28 across the 18 of their papers we have counts for
5 papers · 1 filter
An improved bound for the star discrepancy of sequences in the unit interval
Gerhard Larcher, Florian Puchhammer
It is known that there is a constant such that for every sequence in we have for the star discrepancy of the first elements of the seq…
An improved lower bound for the -discrepancy
Aicke Hinrichs, Gerhard Larcher
We give an improved lower bound for the -discrepancy of finite point sets in the unit square.
On sequences with prescribed metric discrepancy behavior
Christoph Aistleitner, Gerhard Larcher
An important result of H. Weyl states that for every sequence of distinct positive integers the sequence of fractional parts of $\left(a_{n} α\right)…
Metric results on the discrepancy of sequences modulo one for integer sequences of polynomial growth
Christoph Aistleitner, Gerhard Larcher
An important result of H. Weyl states that for every sequence of distinct positive integers the sequence of fractional parts of $\left(a_{n} α\right…
On parametric Thue-Morse Sequences and Lacunary Trigonometric Products
Christoph Aistleitner, Roswitha Hofer, Gerhard Larcher
One of the fundamental theorems of uniform distribution theory states that the fractional parts of the sequence are uniformly distributed modulo one (u.d. mod 1)…