442502 VO Ergodic theory II (2014W)
Labels
Details
Language: English
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
First lecture on Wednesday October 1st
Wednesday
01.10.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
02.10.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
08.10.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
09.10.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
15.10.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
16.10.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
22.10.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
23.10.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
29.10.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
30.10.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
05.11.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
06.11.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
12.11.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
13.11.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
19.11.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
20.11.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
26.11.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
27.11.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
03.12.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
04.12.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
10.12.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
11.12.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
17.12.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
18.12.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
07.01.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
08.01.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
14.01.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
15.01.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
21.01.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
22.01.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
28.01.
14:00 - 15:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
29.01.
14:00 - 14:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Information
Aims, contents and method of the course
Assessment and permitted materials
Oral exam (in Englisch or German depending on student's preference).
Minimum requirements and assessment criteria
Examination topics
Lecture + course material on website
Reading list
Peter Walters, An Introduction to Ergodic Theory, Springer-Verlag 1975
ISBN 0-387-95152-0.
Gerhard Keller, Equilibrium States in Ergodic Theory, Cambridge Univ. Press. 1998.
Omri Sarig, Lecture Notes on Thermodynamic Formalism for Topological Markov Shifts. Penn State, 2009.
ISBN 0-387-95152-0.
Gerhard Keller, Equilibrium States in Ergodic Theory, Cambridge Univ. Press. 1998.
Omri Sarig, Lecture Notes on Thermodynamic Formalism for Topological Markov Shifts. Penn State, 2009.
Association in the course directory
MSTV
Last modified: Mo 07.09.2020 15:47
- Definition and properties of entropy (both topological and metric). The variational principle.
- Entropy as invariant under isomorphism, and complete invariant under isomorphism for Bernoulli shifts.
- Basic notions and motivation of thermodynamic formalism.
- Applications of thermodynamic formalism to (fractal) dimension theory. Dimension formulas.
- Entropy and pressure for induced transformations (Abramov's formula).