4 citations · 7 across the 4 of their papers we have counts for
4 papers
From discrete to continuous: Monochromatic 3-term arithmetic progressions
Torin Greenwood, Jonathan Kariv, Noah Williams
We prove a known 2-coloring of the integers minimizes the number of monochromatic arithmetic 3-progressions under certain restrictions. A monochromatic…
Partial linear eigenvalue statistics for non-Hermitian random matrices
Sean O'Rourke, Noah Williams
For an independent-entry random matrix with eigenvalues , the seminal work of Rider and Silverstein asserts that the fluctuations of the linear…
On the local pairing behavior of critical points and roots of random polynomials
Sean O'Rourke, Noah Williams
We study the pairing between zeros and critical points of the polynomial , whose roots are complex-valued random variables. Under…
Pairing between zeros and critical points of random polynomials with independent roots
Sean O'Rourke, Noah Williams
Let be a random, degree polynomial whose roots are chosen independently according to the probability measure on the complex plane. For a deterministic point lying…