Paige Bright

activity

20232026

most citedMatrix Calculus (for Machine Learning and Beyond)

2 citations · 4 across the 13 of their papers we have counts for

collaborators

Showing 2024Show all

5 papers · 1 filter

math.CA2024

Pinned Dot Product Set Estimates

Paige Bright, Caleb Marshall, Steven Senger

We study a variant of the Falconer distance problem for dot products. In particular, for fractal subsets $A \subset R^{n}$ and $a, x \in R^{n}$ , we study sets of the for…

math.CA2024

Spread Furstenberg Sets

Paige Bright, Manik Dhar

We obtain new bounds for (a variant of) the Furstenberg set problem for high dimensional flats over $R^{n}$ . In particular, let $F \subset R^{n}$ , $1 \leq k \leq n - 1$ ,…

math.CA2024

A Continuum Erdős-Beck Theorem

Paige Bright, Caleb Marshall

We prove a version of the Erdős--Beck Theorem from discrete geometry for fractal sets in all dimensions. More precisely, let $X \subset R^{n}$ Borel and $k \in [0, n - 1]$ be a…

math.CA2024

Radial Projections in $R^{n}$ 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 $X, Y \subset R^{n}$ Borel set…

math.CA2024

A Study Guide to "Kaufman and Falconer estimates for radial projections"

Paige Bright, Ryan Bushling, Caleb Marshall +1

This expository piece expounds on major themes and clarifies technical details of the paper "Kaufman and Falconer estimates for radial projections and a continuum version of Beck's…

Pinned Dot Product Set Estimates

Spread Furstenberg Sets

A Continuum Erdős-Beck Theorem

Radial Projections in Rn Revisited

A Study Guide to "Kaufman and Falconer estimates for radial projections"

Radial Projections in $R^{n}$ Revisited