3 papers
math.CA2023
An uncountable union of line segments with null two-dimensional measure
Parker Kuklinski
In this paper we construct an uncountable union of line segments which has full intersection with the sets $(\{ 0\} \times [0, 1]) \cup (\{ 1\} \times [0, 1])\subset\mathbb{R}^…
math.PR2023
Blind Number Sequencing
Parker Kuklinski, Nick Vogel
A popular challenge on the social media app TikTok is to place the output of a random number generator in ascending order without arriving at a contradiction. Most players rely on…
math.CA2021
A Generalized Lerche-Newberger Formula
Parker Kuklinski, Michael Warnock, David A. Hague
The Lerche-Newberger formula simplifies harmonic sums of Bessel functions and has seen application in plasma physics and frequency modulated quantum systems. In this paper, we rigo…