Dynamics Seminar
Malavika Mukundan
University of Michigan
Dynamical Approximation of Entire Functions
Abstract: Postsingularly finite (psf) holomorphic functions are entire functions for which the forward orbit of the set of critical and asymptotic values is finite. Motivated by previous work on approximating entire functions dynamically by polynomials, we ask the following question:
Given a psf entire function $f$, can $f$ be realised as the locally uniform limit of a sequence of psf polynomials?
In joint work with Nikolai Prochorov and Bernhard Reinke, we show how we may answer this question in the affirmative.
Wednesday January 17, 2024 at 3:00 PM in 636 SEO