16 citations · 28 across the 22 of their papers we have counts for
Showing 2020Show all
2 papers · 1 filter
math.CO2020★ 2 cited
A Sum-Product Estimate for Well Spaced Sets
Shengwen Gan, Alina Harbuzova
We study the -discretized sum-product estimates for well spaced sets. Our main result is: for a fixed , we prove that for any -separated set $…
math.CA2020
On Kakeya maps with regularity assumptions
Yuqiu Fu, Shengwen Gan
In , we parametrize Kakeya sets using Kakeya maps. A Kakeya map is defined to be a map $$ϕ:B^{n-1}(0,1)\times [0,1]\rightarrow \mathbb{R}^{n}, (v,t)\mapsto (c(v)+tv,t)…