S. Senger

activity

20082023

most citedSharpness of Falconer's estimate in continuous and arithmetic settings, geometric incidence theorems and distribution of lattice points in convex domains

9 citations · 29 across the 24 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.CO2019

Uniqueness of Optimal Point Sets Determining Two Distinct Triangles

Hazel N. Brenner, James S. Depret-Guillaume, Eyvindur A. Palsson +1

In this paper, we show that the maximum number of points in $d \geq 3$ dimensions determining exactly 2 distinct triangles is $2 d$ . We further show that this maximum is uniquely achi…

math.CO2019

On the Number of Discrete Chains

Eyvindur Ari Palsson, Steven Senger, Adam Sheffer

We study a generalization of Erd\H os's unit distances problem to chains of $k$ distances. Given $P,$ a set of $n$ points, and a sequence of distances $(δ_{1}, \dots, δ_{k})$ ,…