J. Passant

activity

20172020

most citedA multi-parameter variant of the Erdős distance problem

1 citations · 1 across the 2 of their papers we have counts for

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math.CO2020

On Erdős Chains in the Plane

Jonathan Passant

Let $P$ be a finite point set in $R^{2}$ with the set of distance $n$ -chains defined as $Δ_{n} (P) = {(∣ p_{1} - p_{2} ∣, ∣ p_{2} - p_{3} ∣, \dots, ∣ p_{n} - p_{n + 1} ∣) : p_{i} \in P} .$ We show that fo…

math.CO2018

Finite point configurations in the plane, rigidity and Erdos problems

A. Iosevich, J. Passant

For a finite point set $E \subset R^{d}$ and a connected graph $G$ on $k + 1$ vertices, we define a $G$ -framework to be a collection of $k + 1$ points in E such that the distan…

math.CO2017★ 1 cited

A multi-parameter variant of the Erdős distance problem

Alex Iosevich, Maria Janczak, Jonathan Passant

We study the following variant of the Erdős distance problem. Given $E$ and $F$ a point sets in $R^{d}$ and $p = (p_{1}, \dots, p_{q})$ with $p_{1} + \dots + p_{q} = d$ is an incre…