Zeev Dvir

activity

20082026

most citedOn the size of Kakeya sets in finite fields

210 citations · 238 across the 24 of their papers we have counts for

collaborators

Showing 2014 · math.COShow all

3 papers · 2 filters

math.CO2014

On the number of rich lines in truly high dimensional sets

Zeev Dvir, Sivakanth Gopi

We prove a new upper bound on the number of $r$ -rich lines (lines with at least $r$ points) in a `truly' $d$ -dimensional configuration of points $v_{1}, \dots, v_{n} \in C^{d}$ .…

math.CO2014★ 2 cited

Sylvester-Gallai for Arrangements of Subspaces

Zeev Dvir, Guangda Hu

In this work we study arrangements of $k$ -dimensional subspaces $V_{1}, \dots, V_{n} \subset C^{ℓ}$ . Our main result shows that, if every pair $V_{a}, V_{b}$ of subspaces is cont…

math.CO2014

A quantitative variant of the multi-colored Motzkin-Rabin theorem

Zeev Dvir, Christian Tessier-Lavigne

We prove a quantitative version of the multi-colored Motzkin-Rabin theorem in the spirit of [BDWY12]: Let $V_{1}, \dots, V_{n} \subset R^{d}$ be $n$ disjoint sets of points (of $n$ `color…