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Course, academic year 2022/2023
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Ergodic Theory - NSTP163
Title: Ergodická teorie
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: summer
E-Credits: 5
Hours per week, examination: summer s.:3/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Guarantor: RNDr. Jan Seidler, CSc.
Classification: Mathematics > Probability and Statistics
Interchangeability : NMTP532
Annotation -
Last update: JSEIDLER/MFF.CUNI.CZ (15.05.2008)
The lectures are devoted to basic properties of measureble dynamical systems, properties like recurrence, ergodicity and mixing being discussed in detail.
Aim of the course -
Last update: T_KPMS (19.05.2008)

Students will learn basic results about measurable dynamical systems.

Literature - Czech
Last update: JSEIDLER/MFF.CUNI.CZ (15.05.2008)

P. Walters: An Introduction to Ergodic Theory, Springer, 1982.

K. Petersen: Ergodic Theory, Cambridge Univ. Press, 1983

Teaching methods -
Last update: G_M (28.05.2008)


Syllabus -
Last update: JSEIDLER/MFF.CUNI.CZ (15.05.2008)

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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