Sergiy Kolyada

John-von-Neumann-Professor
Sergiy Kolyada

E-Mail: kolyada(AT)ma.tum.de

Institute of Mathematics
National Academy of Sciences of Ukraine
Tereshchenkivs'ka 3, 01601, Kyiv
Ukraine

Zentrum Mathematik
Technische Universität München
Boltzmannstraße 3
D-85748 Garching bei München
Germany

Room: 03.06.036
Phone: +49 (89) 289-18314
Fax: +49 (89) 289-18308
Homepage:http://www.imath.kiev.ua/~skolyada/
John-von-Neumann Lecture:

Topological Dynamics: Minimality, Entropy and Chaos

Main aim:
The study of topological transitivity, minimality, chaotic properties, topological entropy and functional envelopes for discrete dynamical systems given by compact Hausdorff (metric) spaces and continuous selfmaps.
Contents:
  • Topological transitivity and minimality
  • Li-Yorke sensitivity and other concepts of chaos
  • Topological entropy
  • Functional envelope of a dynamical systemy
ECTS Credits:
5 ECTS
Prerequisites:
Basic knowledge Functional Analysis and Topology.
Lecture Time:
Mondays, 14:15 - 15:45
Exercise Time:
Wednesdays, 12:15 - 13:45
First class:
15.4.2013
Room:
03.06.011
Detailed List of Contents of the John-von-Neumann Lecture:

Topological Dynamics: Minimality, Entropy and Chaos

1. Topological transitivity and minimality:
2. Li-Yorke sensitivity and other concepts of chaos:
3. Topological entropy:
4. Functional envelope of a dynamical system: