activity
20132025
most citedMetric results on the discrepancy of sequences modulo one for integer sequences of polynomial growth

6 citations · 28 across the 18 of their papers we have counts for

collaborators

27 papers

math.NT2025

On the quasi-uniformity properties of quasi-Monte Carlo point sets and sequences -- Part I: Lattices and Kronecker sequences

Josef Dick, Takashi Goda, Gerhard Larcher +2

The discrepancy of a point set quantifies how well the points are distributed, with low-discrepancy point sets demonstrating exceptional uniform distribution properties. Such sets…

math.NT2022★ 1 cited

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…

math.NT2022★ 1 cited

The exact order of discrepancy for Levin's normal number in base 2

Roswitha Hofer, Gerhard Larcher

Mordechay Levin has constructed a number which is normal in base 2, and such that the sequence has very small discrepancy . Indeed…

q-fin.CP2022

Supervised machine learning classification for short straddles on the S&P500

Alexander Brunhuemer, Lukas Larcher, Philipp Seidl +3

In this working paper we present our current progress in the training of machine learning models to execute short option strategies on the S&P500. As a first step, this paper is br…

math.NT2019

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…

math.NT2018

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…