A. Cohen

activity

20192026

most citedEvery real-rooted exponential polynomial is the restriction of a Lee-Yang polynomial

5 citations · 12 across the 6 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.CO2023★ 1 cited

A new upper bound for the Heilbronn triangle problem

Alex Cohen, Cosmin Pohoata, Dmitrii Zakharov

For sufficiently large $n$ , we show that in every configuration of $n$ points chosen inside the unit square there exists a triangle of area less than $n^{- 8/7 - 1/2000}$ . This improv…

math.CA2023

Fractal uncertainty in higher dimensions

Alex Cohen

We prove that if a fractal set in $R^{d}$ avoids lines in a certain quantitative sense, which we call line porosity, then it has a fractal uncertainty principle. The main in…

math.CV2023★ 5 cited

Every real-rooted exponential polynomial is the restriction of a Lee-Yang polynomial

Lior Alon, Alex Cohen, Cynthia Vinzant

A Lee-Yang polynomial $p (z_{1}, \dots, z_{n})$ is a polynomial that has no zeros in the polydisc $D^{n}$ and its inverse $ (\mathbb{C}\setminus\overline{\mathbb{D}})^{n…