Course Exam
250109 VO Ergodic Theory (2017S)
Labels
WHEN?
Monday
23.10.2017
Examiners
Information
Examination topics
Core material:
- Invariant measures, Krylov-Bogul'jubov Theorem.
- Absolute continuity, densities (= Radon-Nikodym derivative)
- Basic examples of measure preserving transformations (circle rotation, - doubling map, full shift)
- Ergodicity and unique ergodicity.
- Birkhoff's Ergodic Theorem and basic applications.
- Poincare's Recurrence Theorem, Kac's Lemma.
- Mixing and weak mixing, their characterization and relation.
- Invariant measures, Krylov-Bogul'jubov Theorem.
- Absolute continuity, densities (= Radon-Nikodym derivative)
- Basic examples of measure preserving transformations (circle rotation, - doubling map, full shift)
- Ergodicity and unique ergodicity.
- Birkhoff's Ergodic Theorem and basic applications.
- Poincare's Recurrence Theorem, Kac's Lemma.
- Mixing and weak mixing, their characterization and relation.
Assessment and permitted materials
Oral Exam.
Minimum requirements and assessment criteria
Broad and general understanding of the topics covered in this course.
Last modified: Mo 07.09.2020 15:40