Universität Wien
Course Exam

250109 VO Ergodic Theory (2017S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

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.

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