Speaker: Leticia Pardo-Simón, research fellow in mathematics at The University of Manchester, UK

Date: January 5, 2024

Time: 16:00-17:00

Location: Zoom: 920 917 2510

Sponsor: Frontiers Science Center for Nonlinear Expectations, Shandong University; Research Centre for Mathematics and Interdisciplinary Sciences Centre, Shandong University; Sino-Russian Mathematics Center in Qingdao

Abstract:

Let f be a transcendental entire function, that is, a non-polynomial holomorphic self-map of the complex plane. Transcendental dynamics studies what happens to a point z under repeated iteration of the function f. In particular, points might belong to wandering domains, that is, open ‘maximal’ regions of stability whose images under iteration are all disjoint from each other. In this talk I will discuss how recent techniques based on approximation theory allow us to construct a wide range of examples: from wandering domains that remain in a bounded part of the plane for ‘almost all iterates’ to those that converge to infinity ‘as fast as possible’. This is based on joint work with A. Glücksam, V. Evdoridou and D. Sixsmith.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/187067.htm