SEMINAR:Why is differentiation chaotic?

Guest:  Karl Grosse-Erdmann, Université de Mons, Belgium

Title: Why is differentiation chaotic?

Date/Time: 1 October 2025, 13:40

Location: FENS G035

Abstract: What does one get if one differentiates repeatedly a given function? The theory of linear dynamics studies precisely this kind of question: Which orbits does one get under the action of a continuous linear operator on a Banach space, say? Typically we are interested in periodic orbits, dense orbits, or the related notion of linear chaos. In this talk we will use the differentiation operator $D: f\to f'$ on the space $H(\mathbb{C})$ of entire functions as a guiding principle to present concepts and results in linear dynamics. Setting $D$ in a larger context will allow us to answer the question in the title. We will also report on recent work.

Bio: Karl Grosse-Erdmann is a researcher in functional analysis and operator theory, with a special interest in the dynamics of linear operators. He obtained his PhD from Trier University in Germany. After several visiting positions, for example at Indiana University in the USA or the Technical University in Berlin, he became professor of probability theory at the University of Mons in Belgium in 2007, from which he retired in 2024. He has supervised more than 50 Master theses, has had 5 PhD students, and was in the jury of more than 25 PhD committees. He is the author of a textbook on Linear dynamics and of 60 research articles.