School of Mathematics Colloquium

Random lemniscates: inradius and other metric properties

by Dr. Koushik Ramachandran (TIFR-CAM)

Thursday, April 13, 2023 from to (Asia/Kolkata)
at AG-69
Description
Abstract: A lemniscate in the plane is a sub level set of the modulus of a
complex polynomial. In this talk I will discuss some metric properties of
random lemniscates, particularly about the inradius, when the roots of the
polynomial are sampled independently from a fixed probability
distribution. Based on joint work with Manjunath Krishnapur and Erik
Lundberg.