activity
20142025
most citedPersistent Betti numbers of random Čech complexes

5 citations · 9 across the 12 of their papers we have counts for

collaborators

19 papers

math.NT2025

Counting appearances of integers in sets of arithmetic progressions

Florian Pausinger

The sequence of The On-Line Encyclopedia of Integer Sequences is defined as with being the determinant of the matrix whose diagonal…

math.MG2025

Explicit lower bounds for opaque sets of unit square and unit disc

Markus Kiderlen, Florian Pausinger

Explicit lower bounds for the length of the shortest opaque set for the unit disc and the unit square in the Euclidean plane are derived. The results are based on an explicit appli…

math.CO2024

Symmetry groups and deformations of sums of exponentials

Florian Pausinger, David Petrecca

We study the symmetry groups and winding numbers of planar curves obtained as images of weighted sums of exponentials. More generally, we study the image of the complex unit circle…

cs.LG2023

Learn2Extend: Extending sequences by retaining their statistical properties with mixture models

Dimitris Vartziotis, George Dasoulas, Florian Pausinger

This paper addresses the challenge of extending general finite sequences of real numbers within a subinterval of the real line, maintaining their inherent statistical properties by…

math.NT2023

On the symmetry of finite sums of exponentials II

Florian Pausinger, Dimtris Vartziotis

In this note we extend our study of the rich geometry of the graph of a curve defined as the weighted sum of two exponentials. Let be de…

math.PR2022

On the expected L2-discrepancy of jittered sampling

Nathan Kirk, Florian Pausinger

For , a jittered sample of points can be constructed by partitioning into axis-aligned equivolume boxes and placing one point independe…