17 citations · 73 across the 39 of their papers we have counts for
5 papers · 1 filter
Pair correlations and equidistribution
Christoph Aistleitner, Thomas Lachmann, Florian Pausinger
A deterministic sequence of real numbers in the unit interval is called \emph{equidistributed} if its empirical distribution converges to the uniform distribution. Furthermore, the…
Irregularities of distributions and extremal sets in combinatorial complexity theory
Christoph Aistleitner, Aicke Hinrichs
In 2004 the second author of the present paper proved that a point set in which has star-discrepancy at most must necessarily consist of at least $c_{abs} d…
On Weyl products and uniform distribution modulo one
Christoph Aistleitner, Gerhard Larcher, Friedrich Pillichshammer +2
In the present paper we study the asymptotic behavior of trigonometric products of the form for , where the numbers are…
Additive Energy and Irregularities of Distribution
Christoph Aistleitner, Gerhard Larcher
We consider strictly increasing sequences of integers and sequences of fractional parts where $α\in…
Additive Energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems
Christoph Aistleitner, Gerhard Larcher, Mark Lewko
For a sequence of integers we show that the distribution of the pair correlations of the fractional parts of is asymp…