M. Mackey

will speak on

Inner iteration of holomorphic functions on hyperbolic domains

Time: 4:15PM
Date: Tue 5th December 2017
Location: SCN 125 [map]

Abstract: If $(f_n)$ is a sequence of holomorphic self-maps of a domain then
the associated inner iterated function system is $(F_n)$ where
$F_n=f_1\circ\cdots\circ f_n$. We survey results of Gill, Lorentzen,
Beardon et al., Keen and Lakic, and Bracci concerning the convergence
of such systems, focusing (in the sprit of the Denjoy-Wolff theorem)
on conditions which guarantee that limit points are constant.

(This talk is part of the Analysis series.)

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