SE 25077.1 Schwerpunktseminar WS 2019
Stochastik und Dynamische Systeme
For questions email
Henk Bruin
or
Roland Zweimüller.
Ankündigungen
First meeting on March 7st 2019: discussion of structure and choice of topic.
Selected Text
- Michael Brin and Garrett Stuck, Introduction to Dynamical Systems, Cambridge University Press 2002
ISBN 0-521-80841-3
Potential Topics -- just for orientation:
- Toral automorphisms, horseshoes (GS 1.7-1.8 )
- Ergodicity and mixing, ergodicity of toral automorphisms (GS 4.3 - 4.4)
- Hyperbolicity and shadowing (GS 5.2-5.3)
- Stable and Unstable manifolds, inclination lemma (GS 5.6-5.7)
- Anosov Diffeomorphisms and Axiom A systems (GS 5.1 )
- Markov partitions and symbolic dynamics (GS 5.12)
- Hölder continuity of stable/unstable foliations (GS 6.1-6.2)
- The Hopf proof or Ergodicity (GS 6.3)
List of slots
| Date | Name | Topic |
|---|
| May 2 | 1: Boufounos | Examples: toral automorphisms |
| | 2: Hand | Horseshoes |
| May 9 | 1: Mikosch | ε-orbits and shadowing lemma |
| | 2: Unterlercher | Invariant cone fields |
| May 16 | 1: Gerber | Invariant |
| | 2: Islami | Manifolds |
| May 23 | 1: | |
| | 2: | |
| June 6: | 1: Stevanovic | Local product structure |
| | 2: Peter Fellner | Anosov Diffeos |
| June 13 | 1: Auer | Ergodicity of Anosov diffeos |
| | 2: Ruggiero | Hölder and absolute
continuity |
| June 27 | 1: Parzer | Hölder and absolute
continuity |
| | 2: | |
May 30 is Ascension Day (Himmelfahrt), June 20 Corpus Christi (Frohleichnam).
Schedule and classroom
| Day | Time | Room | from | to |
|---|
| Thursday | 11:30-12:45 | SR12 | 7.3.2019 | 27.06.2019 |
Topic of the Course
Michael Brin, Garrett Stuck,
Introduction to dynamical systems
Cambridge, U.K, New York, Cambridge University Press, 2002
Assessment/Leistungsbeurteilung
Assessment for this seminar will be based on the presentations of the
students/Die Leistungsbeurteilung für das Seminar erfolgt auf Grund der
Vorträge der Studenten.
Updated April 9 2019