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

24 papers

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…

math.CA2023

Discrete maximal operators and pinned simplices

Neil Lyall, Akos Magyar, Alex Newman +1

We prove $ℓ^{2}$ estimates for certain discrete maximal operators associated to simplices. These operators are generalizations of the discrete spherical maximal operator.

math.CA2020★ 7 cited

Multilinear maximal operators associated to simplices

Brian Cook, Neil Lyall, Akos Magyar

We establish $L^{p_{1}} \times \dots \times L^{p_{k}} \to L^{r}$ and $ℓ^{p_{1}} \times \dots \times ℓ^{p_{k}} \to ℓ^{r}$ type bounds for multilinear maximal operators associated to averages…

math.CA2018★ 13 cited

Distance Graphs and sets of positive upper density in $R^{d}$