Lehrveranstaltungsprüfung
250109 VO Ergodic Theory (2017S)
Labels
WANN?
Montag
11.06.2018
Prüfer*innen
Information
Prüfungsstoff
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.
Art der Leistungskontrolle und erlaubte Hilfsmittel
Oral exam.
Mindestanforderungen und Beurteilungsmaßstab
Broad and general understanding of the topics covered in this course.
Letzte Änderung: Mo 07.09.2020 15:40