J. Sahasrabudhe

activity

20112026

most citedCentral limit theorems and the geometry of polynomials

16 citations · 33 across the 22 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.PR2020

Singularity of random symmetric matrices revisited

Marcelo Campos, Matthew Jenssen, Marcus Michelen +1

Let $M_{n}$ be drawn uniformly from all $\pm 1$ symmetric $n \times n$ matrices. We show that the probability that $M_{n}$ is singular is at most $exp (- c (n lo g n)^{1/2})$ , which repre…

math.PR2020★ 2 cited

Random polynomials: the closest roots to the unit circle

Marcus Michelen, Julian Sahasrabudhe

Let $f = \sum_{k = 0}^{n} ε_{k} z^{k}$ be a random polynomial, where $ε_{0}, \dots, ε_{n}$ are iid standard Gaussian random variables, and let $ζ_{1}, \dots, ζ_{n}$ de…

math.CA2020★ 1 cited

Cosine polynomials with few zeros

Tomas Juškevičius, Julian Sahasrabudhe

In a celebrated paper, Borwein, Erdélyi, Ferguson and Lockhart constructed cosine polynomials of the form \[ f_A(x) = \sum_{a \in A} \cos(ax), \] with $A \subseteq N$ , $|A|…