Ergodic Theory - NMTP532
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Last update: T_KPMS (16.05.2013)
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Last update: T_KPMS (16.05.2013)
Students will learn basic results about measurable dynamical systems.
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Last update: RNDr. Jitka Zichová, Dr. (13.05.2023)
Oral exam. |
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Last update: T_KPMS (16.05.2013)
P. Walters: An Introduction to Ergodic Theory, Springer, 1982.
K. Petersen: Ergodic Theory, Cambridge Univ. Press, 1983 |
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Last update: T_KPMS (16.05.2013)
Lecture. |
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Last update: RNDr. Jitka Zichová, Dr. (13.05.2023)
Oral exam according to sylabus. |
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Last update: T_KPMS (16.05.2013)
1. Endomorphisms and automorphisms of probability spaces.
2. The Poincaré recurrence theorem.
3. The Birkhoff ergodic theorem and its consequences.
4. Examples.
5. Entropy and isomorphism of dynamical systems. |
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Last update: RNDr. Jan Seidler, CSc. (28.05.2019)
Students should be acquianted with reasonably advanced mathematical analysis, in particular with measure theory and very basic notions of functional analysis. |