E. Palsson

activity

20242026

collaborators

9 papers

math.CA2026

On volume vectors determined by hypergraphs in thin subsets of Euclidean space

Tainara Borges, Ben Foster, Yumeng Ou +2

Generalizing the Falconer distance problem, the authors of this paper recently established the first non-trivial dimensional threshold for any distance graph in high enough of a di…

math.NA2026

PDE propagation, sampling, and the Fourier ratio

A. Iosevich, J. Iosevich, E. Palsson +1

We study recovery from incomplete random spatial samples for discretized fields arising as fixed-time snapshots of partial differential equations. The organizing parameter is the F…

math.CA2026

Falconer-type results for any finite graph with multiple pins

Tainara Borges, Ben Foster, Yumeng Ou +2

A generalization of the celebrated Falconer distance problem asks for a graph $G = (V, E)$ , with vertex set $V$ and edge set $E$ , how large the…

math.CA2026

Discretization, sampling, and the Fourier ratio

A. Iosevich, E. Palsson, A. Yavicoli

We derive fundamental sampling bounds for smooth signals in continuous settings without sparsity assumptions. By introducing the Fourier ratio as a measure of spectral compressibil…

math.CA2025

The Fourier Ratio: Uncertainty, Restriction, and Approximation for Compactly Supported Measures

A. Iosevich, Z. Li, E. Palsson +1

We introduce a continuous analog of the Fourier ratio for compactly supported Borel measures. For a measure $μ$ on $\mathbb{R}^d$ and $f\in L^2(μ)$, the Fourier ratio compare…

math.CA2025

Nonempty interior of pinned distance and tree sets

Tainara Borges, Benjamin Foster, Yumeng Ou +1

For a compact set $E \subset R^{d}$ , $d \geq 2$ , consider the pinned distance set $Δ^{y} (E) = {∣ x - y ∣ : x \in E}$ . Peres and Schlag showed that if the Hausdorff dimens…

math.CO2024

Congruence Classes of Simplex Structures in Finite Field Vector Spaces

Timothy Cheek, Joseph Cooper, Pico Gilman +6

We study a generalization of the Erdős-Falconer distance problem over finite fields. For a graph $G$ , two embeddings $p, p^{'} : V (G) \to F_{q}^{d}$ of a graph $G$ are congruent i…

math.CA2024

Packing sets in Euclidean space by affine transformations

Alex Iosevich, Pertti Mattila, Eyvindur Palsson +4

For Borel subsets $Θ \subset O (d) \times R^{d}$ (the set of all rigid motions) and $E \subset R^{d}$ , we define \begin{align*} Θ(E):=\bigcup_{(g,z)\in Θ}(gE+z). \end{ali…

math.CA2024

Multi-linear forms, structure of graphs and Lebesgue spaces

A. Iosevich, E. Palsson, Y. Zhai +1

Consider the operator $T_{K} f (x) = \int_{R^{d}} K (x, y) f (y) d y,$ where $K$ is a locally integrable function or a measure. The purpose of this paper is to study the multi-line…