2 papers
math.DS2022
Hausdorff Dimension of Closure of Cycles in d-Maps on the Circle
Nicholas Payne, Mrudul Thatte
We study the dynamics of the map to (mod 1) on the unit circle. We characterize the invariant finite subsets of this map which are called cycles and are graded by their de…
math.CO2021
An Exploration of the Symmetry Groups of Certain Configurations of Points
Luke Boyer, Nick Payne
We start by introducing the basics of configurations of points and lines, and then move into discussing symmetry groups of these configurations. Specifically, we explore how we mig…