3 papers
math.CA2024
Radial Projections in Revisited
Paige Bright, Yuqiu Fu, Kevin Ren
We generalize the recent results on radial projections by Orponen, Shmerkin, Wang using two different methods. In particular, we show that given Borel set…
math.CO2023
Generalized point configurations in
Paige Bright, Xinyu Fang, Barrett Heritage +4
In this paper, we generalize \cite{IosevichParshall}, \cite{LongPaths} and \cite{cycles} by allowing the \emph{distance} between two points in a finite field vector space to be def…
math.CO2023
Improved bounds for embedding certain configurations in subsets of vector spaces over finite fields
Paige Bright, Xinyu Fang, Barrett Heritage +2
The fourth listed author and Hans Parshall (\cite{IosevichParshall}) proved that if , , and is a connected graph on vertices such that…