Kyle Hambrook

activity

20162021

most citedGroup actions and a multi-parameter Falconer distance problem

5 citations · 5 across the 4 of their papers we have counts for

collaborators

Showing math.CAShow all

5 papers · 1 filter

math.CA2019

Explicit Salem sets in $R^{n}$

Robert Fraser, Kyle Hambrook

We construct the first explicit (i.e., non-random) examples of Salem sets in $R^{n}$ of arbitrary prescribed Hausdorff dimension. This completely resolves a problem proposed…

math.CA2018

Measure and Dimension of Sums and Products

Kyle Hambrook, Krystal Taylor

We investigate the Lebesgue measure, Hausdorff dimension, and Fourier dimension of sets of the form $R Y + Z,$ where $R \subseteq (0, \infty)$ and $Y, Z \subseteq R^{d}$ . We…

math.CA2017

Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in the $p$ -adic numbers

Robert Fraser, Kyle Hambrook

We exhibit the first explicit examples of Salem sets in $Q_{p}$ of every dimension $0 < α < 1$ by showing that certain sets of well-approximable $p$ -adic numbers are Salem se…

math.CA2017★ 5 cited

Group actions and a multi-parameter Falconer distance problem

Kyle Hambrook, Alex Iosevich, Alex Rice

In this paper we study the following multi-parameter variant of the celebrated Falconer distance problem. Given $d = (d_{1}, d_{2}, \dots, d_{ℓ}) \in N^{ℓ}$ with…

math.CA2016

Explicit Salem sets and applications to metrical Diophantine approximation