5 citations · 10 across the 6 of their papers we have counts for
10 papers · 1 filter
Discrepancy bounds for normal numbers generated by necklaces in arbitrary base
Roswitha Hofer, Gerhard Larcher
Mordechay B. Levin has constructed a number which is normal in base 2, and such that the sequence has very small discrepancy . In…
On Pair Correlation of Sequences
Gerhard Larcher, Wolfgang Stockinger
We give a survey on the concept of Poissonian pair correlation (PPC) of sequences in the unit interval, on existing and recent results and we state a list of open problems. Moreove…
On a multi-dimensional Poissonian pair correlation concept and uniform distribution
Aicke Hinrichs, Lisa Kaltenböck, Gerhard Larcher +2
The aim of the present article is to introduce a concept which allows to generalise the notion of Poissonian pair correlation, a second-order equidistribution property, to higher d…
On Bounded Remainder Sets and Strongly Non-Bounded Remainder Sets for Sequences
Lisa Kaltenböck, Gerhard Larcher
We give some results on the existence of bounded remainder sets (BRS) for sequences of the form , where - in most cases - is a given sequenc…
Some negative results related to Poissonian pair correlation problems
Gerhard Larcher, Wolfgang Stockinger
We say that a sequence in has Poissonian pair correlations if \begin{equation*} \lim_{N \to \infty} \frac{1}{N} \# \left \lbrace 1 \leq l \neq m…
Pair correlation of sequences with maximal order of additive energy
Gerhard Larcher, Wolfgang Stockinger
We show for sequences of distinct positive integers with maximal order of additive energy, that the sequence $\left(\left\{a_{n} α\right\}\r…