E. Palsson

activity

20112026

most citedBounds for discrete multilinear spherical maximal functions in higher dimensions

12 citations · 64 across the 43 of their papers we have counts for

collaborators

52 papers

math.MG2026

The Erdős-Falconer distance problem in the integer lattice

Eyvindur Ari Palsson, Jian-An Wang

In this paper we propose and study what we call the Erdős-Falconer distance problem in the integer lattice. One motivation is Magyar's discrete analog of the result of Furstenberg,…

math.CO2026

Sharp Thresholds for Distance Patterns in Random Subsets of $Z^{d}$

Christina Giannitsi, Eyvindur Ari Palsson

Let $d \geq 5$ , $0 < γ < d - 2$ , and $Ω_{N}$ be the binomial random subset of $Q_{N} = [- N, N]^{d} \cap Z^{d}$ with retention probability $p_{N} = N^{- γ}$ . We prove that, with failure…

math.CA2026

Minkowski sums with convex curves without pointwise Fourier decay

Alex Iosevich, Zhangze Li, Eyvindur Palsson +2

Let $Γ \subset R^{2}$ be a compact convex graph and define \[ T(Γ) = \inf \left\{ t: \dim_{\mathrm H}(E)>t \Longrightarrow |E+Γ|>0 \text{ for every compact }E\subset\mathbb R^2…

math.CA2026

Pinned nonempty interior and volumes of simplices

Eyvindur Ari Palsson, Georgios Psaromiligkos

We study pinned nonempty-interior problems for scalar two-point configurations and for volumes of simplices. For $E \subset R^{d}$ , $d \geq 2$ , compact and a smooth scalar conf…

math.CA2026

Sharp higher order regularity of discrete maximal functions

Sung-Yi Liao, José Madrid, Eyvindur Palsson +1

We derive sharp $ℓ^{p} (Z)$ bounds for the $k$ th derivative of the discrete uncentered maximal operator applied to characteristic functions $f : Z \to {0, 1}$ in the…

math.CA2026

$ℓ^{p}$ improving estimates for multilinear forms motivated by distance graphs

Eyvindur Palsson, Jennifer Smucker

We undertake a systematic study of the mapping properties of forms based on distance graphs in $Z^{d}$ to see how the structure of a graph, $G$ , affects the $ℓ^{p}$ imp…

The Erdős-Falconer distance problem in the integer lattice

Sharp Thresholds for Distance Patterns in Random Subsets of Zd

Minkowski sums with convex curves without pointwise Fourier decay

Pinned nonempty interior and volumes of simplices

Sharp higher order regularity of discrete maximal functions

ℓp improving estimates for multilinear forms motivated by distance graphs

Sharp Thresholds for Distance Patterns in Random Subsets of $Z^{d}$

$ℓ^{p}$ improving estimates for multilinear forms motivated by distance graphs