A. Cohen

collaborators

4 papers

math.CO2025

Sylvester--Gallai configurations on algebraic curves in C^2

Alex Cohen

The Sylvester-Gallai theorem says that for any finite set of non-collinear points in $R^{2}$ , there is some line passing through exactly two points of the set. Over the complex numb…

math.CV2024

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…

math.CA2024

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.CA2024

Fractal uncertainty for discrete 2D Cantor sets

Alex Cohen

We prove that a self-similar Cantor set in $Z_{N} \times Z_{N}$ has a fractal uncertainty principle if and only if it does not contain a pair of orthogonal lines. The…