A. Cohen

collaborators

3 papers

math.CO2020

A Sylvester-Gallai result for concurrent lines in the complex plane

Alex Cohen

We show that if a set of points in $C^{2}$ lies on a family of $m$ concurrent lines, and if one of those lines contains more than $m - 2$ points, then there is a line passing…

math.NT2020

Poissonian correlation of higher order differences

Alex Cohen

A sequence $(x_{n})_{n = 1}^{\infty}$ on the torus $T$ exhibits Poissonian pair correlation if for all $s \geq 0$ , \begin{equation*} \lim_{N\to\infty} \frac{1}{N}\#\left\{1\leq…

math.CO2019

Sinkhorn limits in finitely many steps

Alex Cohen, Melvyn B. Nathanson

Applied to a nonnegative $m \times n$ matrix with a nonzero $σ$ -diagonal, the sequence of matrices constructed by alternate row and column scaling conveges to a doubly stochastic ma…