K. Ramachandran

activity

19962023

most citedThe arc length of a random lemniscate

6 citations · 13 across the 10 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.PR2016★ 6 cited

The arc length of a random lemniscate

Erik Lundberg, Koushik Ramachandran

A polynomial lemniscate is a curve in the complex plane defined by ${z \in C : ∣ p (z) ∣ = t}$ . Erdös, Herzog, and Piranian posed the extremal problem of determining the maximu…

math.CV2016

Equidistribution of zeros of random polynomials

Igor Pritsker, Koushik Ramachandran

We study the asymptotic distribution of zeros for the random polynomials $P_{n} (z) = \sum_{k = 0}^{n} A_{k} B_{k} (z)$ , where ${A_{k}}_{k = 0}^{\infty}$ are non-trivial i.i.d. complex random va…