Florian Pausinger

activity

20162022

most citedPersistent Betti numbers of random Čech complexes

5 citations · 6 across the 3 of their papers we have counts for

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4 papers · 1 filter

math.NT2021★ 1 cited

On a partition with a lower expected $L_{2}$ -discrepancy than classical jittered sampling

Markus Kiderlen, Florian Pausinger

We prove that classical jittered sampling of the $d$ -dimensional unit cube does not yield the smallest expected $L_{2}$ -discrepancy among all stratified samples with $N=m^d…

math.NT2020

Long shortest vectors in low dimensional lattices

Florian Pausinger

For coprime integers $N, a, b, c$ , with $0 < a < b < c < N$ , we define the set ${(na (mod N), nb (mod N), n c (mod N)) : 0 \leq n < N} .$ We study…

math.NT2018

On the symmetry of finite sums of exponentials

Florian Pausinger, Dimitris Vartziotis

In this note we are interested in the rich geometry of the graph of a curve $γ_{a, b} : [0, 1] \to C$ defined as \begin{equation*} γ_{a,b}(t) = \exp(2πi a t) + \exp(2…

math.NT2018

On the intriguing search for good permutations

Florian Pausinger

The intriguing search for permutations that generate generalised van der Corput sequences with exceptionally small discrepancy forms an important part of the research work of Henri…

On a partition with a lower expected L2​-discrepancy than classical jittered sampling

Long shortest vectors in low dimensional lattices

On the symmetry of finite sums of exponentials

On the intriguing search for good permutations

On a partition with a lower expected $L_{2}$ -discrepancy than classical jittered sampling