Conducted in
term:
2022/23Z
ECTS credits:
3
Language:
Polish
Organized by:
Doctoral School of Exact and Natural Sciences
Ergodic theory I 7404-MAT-TEI
1. Spectral theory - basic information
2. Automorphisms of a standard Borel space
3. Ergodicity, weak mixing, mixing
Total student workload
30 hours - lecture
30 hours - preparation for lectures and study of literature
30 hours - preparation for exam
Total 90 hours.
3 ECTS pts
Learning outcomes - knowledge
After finishing the course a PhD student should
W1: Understand the notion of a dynamical system and a factor.
W2. Know examples of various classes of dynamical systems.
W3. Know basic notions of ergodic thoery such as ergodicity, mixing, weak mixing.
(P8S_WG)
Learning outcomes - skills
After finishing the course a PhD student should
U1: Explain difference between various classes of dynamical systems.
U2: Be able to use methods of ergodic theory.
U3: Be able to prove basic facts from ergodic theory.
(P8S_UW)
Learning outcomes - social competencies
After finishing the course a PhD student should
K1: Exhibits logical reasoning, recognizes gaps in their knowledge, and asks insightful questions that deepen understanding.
K2: Understands the need for continuous improvement.
(P8S_KK)
Teaching methods
Informative (conventional) lecture
Expository teaching methods
- informative (conventional) lecture
Course coordinators
Assessment criteria
oral exam
Bibliography
M. Einsiedler, T. Ward, Ergodic theory
P. Walters, An Introduction to Ergodic Theory
K. Dajani, Ch. Kalle, A First Course in Ergodic Theory
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: