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math.NT2016★ 4 cited
Sharp general and metric bounds for the star discrepancy of perturbed Halton--Kronecker sequences
Roswitha Hofer, Florian Puchhammer
We consider the star discrepancy of two-dimensional sequences made up as a hybrid between a Kronecker sequence and a perturbed Halton sequence in base 2, where the perturbation is…
math.NT2016★ 2 cited
On an explicit lower bound for the star discrepancy in three dimensions
Florian Puchhammer
Following a result of D.~Bylik and M.T.~Lacey from 2008 it is known that there exists an absolute constant such that the (unnormalized) -norm of the three-dimensi…
math.NT2015
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…