EVENT DETAILS AND ABSTRACT

Title: On the geometry of random lemniscates
Speaker: Erik Lundberg
Speaker Info: Florida Atlantic University
Brief Description:
Special Note:
Abstract:

Abstract: A (rational) lemniscate is the level set of the modulus of a rational function. While sampling from an ensemble of random lemniscates that is invariant under rotations of the Riemann sphere, we study basic geometric and topological properties. For instance, what is the average (spherical) length of a random lemniscate? How many connected components are there and how are they arranged in the plane? We will address each of these questions. This is joint work with Antonio Lerario.