UCD School of Mathematics and Statistics Seminars

Ian Short (Open University)

will speak on

Iterated function systems on hyperbolic Riemann surfaces

Time: 3:00PM
Date: Tue 18th November 2025
Location: E0.32 (beside Pi restaurant) [map]

Further information

Abstract: A classical result known as the Denjoy-Wolff theorem describes the dynamics of the iterates of a holomorphic self-map of the unit disc, and this theorem was generalised by Heins to all hyperbolic Riemann surfaces. Here we consider results of this type for left and right iterated function systems of holomorphic maps. We explore the geometric differences between these two types of systems and, using hyperbolic distortion and topological arguments, we recover and improve on several recent results in holomorphic dynamics. This is joint work with Marco Abate.

https://ucd-ie.zoom.us/j/62878384954

(This talk is part of the Analysis series.)

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