Vortrag: "Chaotic actions of topological semigroups"
Prof. Dr. Stefan Siegmund (TU Dresden)
- https://www.uni-giessen.de/de/fbz/fb07/fachgebiete/mathematik/mathematik/kalender/2015/2015-06-11
- Vortrag: "Chaotic actions of topological semigroups"
- 2015-06-11T17:15:00+02:00
- 2015-06-11T18:15:00+02:00
- Prof. Dr. Stefan Siegmund (TU Dresden)
11.06.2015 von 17:15 bis 18:15 (Europe/Berlin / UTC200)
Hörsaal des Mathematischen Instituts in der Arndtstraße 2, 1. Stock, Raum 111
Ein Vortrag im Rahmen des Mathematischen Kolloquiums.
Um 16:30 Uhr gibt es vorab Tee und Kekse im Runden Zimmer der Bibliothek des Mathematischen Instituts.
Die Dozenten des Mathematischen Instituts laden alle Interessierten herzlich ein.
Abstract
Bob Devaney defines a dynamical system (generated by a map or a differential equation) to be chaotic if
(a) it is topologically transitive,
(b) if the periodic points are dense and
(c) if it has sensitive dependence on initial conditions.
We extend Devaney's notion of chaos to the context of continuous actions of topological semigroups. A very nice result of Banks et al. shows that the condition (c) of being sensitive to initial conditions is redundant. We generalize this result to chaotic actions of topological semigroups. This is joint work with Friedrich M. Schneider, Sebastian Kerkhoff and Mike Behrisch.