N. Lyall

activity

20062023

most citedDistance Graphs and sets of positive upper density in

R^{d}

13 citations · 43 across the 19 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.CA2023

The Discrete Spherical Maximal Function: A new proof of $ℓ^{2}$ -boundedness

Neil Lyall, Akos Magyar, Alex Newman +1

We provide a new direct proof of the $ℓ^{2}$ -boundedness of the Discrete Spherical Maximal Function that neither relies on abstract transference theorems (and hence Stein's Spheri…

math.CO2023

Weak hypergraph regularity and applications to geometric Ramsey theory

Neil Lyall, Akos Magyar

Let $Δ = Δ_{1} \times \dots \times Δ_{d} \subseteq R^{n}$ , where $R^{n} = R^{n_{1}} \times \dots \times R^{n_{d}}$ with each $Δ_{i} \subseteq R^{n_{i}}$ a non-degen…

math.CO2023

Spherical Configurations over Finite Fields

Neil Lyall, Akos Magyar, Hans Parshall

We establish that if $d \geq 2 k + 6$ and $q$ is odd and sufficiently large with respect to $α \in (0, 1)$ , then every set $A \subseteq F_{q}^{d}$ of size $∣ A ∣ \geq α q^{d}$ will con…