Vishesh Jain

activity

20132023

most citedSingularity of random symmetric matrices -- a combinatorial approach to improved bounds

25 citations · 70 across the 30 of their papers we have counts for

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Showing 2021 · math.PRShow all

2 papers · 2 filters

math.PR2021

Random symmetric matrices: rank distribution and irreducibility of the characteristic polynomial

Asaf Ferber, Vishesh Jain, Ashwin Sah +1

Conditional on the extended Riemann hypothesis, we show that with high probability, the characteristic polynomial of a random symmetric ${\pm 1}$ -matrix is irreducible. This addr…

math.PR2021

Rank deficiency of random matrices

Vishesh Jain, Ashwin Sah, Mehtaab Sawhney

Let $M_{n}$ be a random $n \times n$ matrix with i.i.d. $Bernoulli (1/2)$ entries. We show that for fixed $k \geq 1$ , \[\lim_{n\to \infty}\frac{1}{n}\log_2\mathbb{P}[\text{corank…