Random lemniscates: inradius and other metric properties

by Dr Koushik Ramachandran (TIFR-CAM)

Thursday 13 Apr 2023, 16:00 → 17:00 Asia/Kolkata

AG-69

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.