Kyle Hambrook

most citedGroup actions and a multi-parameter Falconer distance problem

5 citations · 5 across the 2 of their papers we have counts for

collaborators

3 papers

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

Kyle Hambrook

Let $Q$ be an infinite subset of $Z$ , let $Ψ : Z \to [0, \infty)$ be positive on $Q$ , and let $θ \in R$ . Define $$ E(Q,Ψ,θ) = \{ x \in \mathbb{R} :…

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

Group actions and a multi-parameter Falconer distance problem

Explicit Salem sets and applications to metrical Diophantine approximation

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