M. Iliopoulou

activity

20122024

most citedCounting joints with multiplicities

11 citations · 32 across the 12 of their papers we have counts for

collaborators

Showing math.COShow all

5 papers · 1 filter

math.CO2019★ 1 cited

Joints formed by lines and a $k$ -plane, and a discrete estimate of Kakeya type

Anthony Carbery, Marina Iliopoulou

Let $L$ be a family of lines and let $P$ be a family of $k$ -planes in $F^{n}$ where $F$ is a field. In our first result we show that the number…

math.CO2014★ 2 cited

Incidence bounds on multijoints and generic joints

Marina Iliopoulou

A point $x \in F^{n}$ is a joint formed by a finite collection $L$ of lines in $F^{n}$ if there exist at least $n$ lines in $L$ through $x$ that…

math.CO2014★ 5 cited

Counting joints in vector spaces over arbitrary fields

Anthony Carbery, Marina Iliopoulou

We give a proof of the "folklore" theorem that the Kaplan--Sharir--Shustin/Quilodrán result on counting joints associated to a family of lines holds in vector spaces over arbitrary…

math.CO2014★ 1 cited

Counting multijoints

Marina Iliopoulou

Let $L_{1}$ , $L_{2}$ , $L_{3}$ be finite collections of $L_{1}$ , $L_{2}$ , $L_{3}$ , respectively, lines in $R^{3}$ , and $J(\mathfrak{L}_1, \mathfrak{L}_2,…

math.CO2012★ 11 cited

Counting joints with multiplicities

Marina Iliopoulou

Let $L$ be a collection of $L$ lines in $R^{3}$ and $J$ the set of joints formed by $L$ , i.e. the set of points each of which lies in at least 3 non-coplanar l…

Joints formed by lines and a k-plane, and a discrete estimate of Kakeya type

Incidence bounds on multijoints and generic joints

Counting joints in vector spaces over arbitrary fields

Counting multijoints

Counting joints with multiplicities

Joints formed by lines and a $k$ -plane, and a discrete estimate of Kakeya type