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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…
math.NT2014
Discrepancy bounds for low-dimensional point sets
Henri Faure, Peter Kritzer
The class of -nets and -sequences, introduced in their most general form by Niederreiter, are important examples of point sets and sequences that are commonly used…