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

collaborators

Showing 2019 · math.PRShow all

3 papers · 2 filters

math.PR2019★ 5 cited

Quantitative invertibility of random matrices: a combinatorial perspective

Vishesh Jain

We study the lower tail behavior of the least singular value of an $n \times n$ random matrix $M_{n} := M + N_{n}$ , where $M$ is a fixed complex matrix with operator norm at most $\exp(n^…

math.PR2019★ 2 cited

Approximate Spielman-Teng theorems for the least singular value of random combinatorial matrices

Vishesh Jain

An approximate Spielman-Teng theorem for the least singular value $s_{n} (M_{n})$ of a random $n \times n$ square matrix $M_{n}$ is a statement of the following form: there exist constants…

math.PR2019

The strong circular law: a combinatorial view

Vishesh Jain

Let $N_{n}$ be an $n \times n$ complex random matrix, each of whose entries is an independent copy of a centered complex random variable $z$ with finite non-zero variance $σ^{2}$ . The…