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math.NT2015★ 1 cited
Component-by-component construction of shifted Halton sequences
Peter Kritzer, Friedrich Pillichshammer
We study quasi-Monte Carlo integration in a weighted anchored Sobolev space. As the underlying integration nodes we consider Halton sequences in prime bases $\boldsymbol{p}=(p_1,\l…
math.NT2014
Discrepancy estimates for index-transformed uniformly distributed sequences
Peter Kritzer, Gerhard Larcher, Friedrich Pillichshammer
In this paper we show discrepancy bounds for index-transformed uniformly distributed sequences. From a general result we deduce very tight lower and upper bounds on the discrepancy…