250123 VO Dynamic Systems (2012W)
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Language: English
Lecturers
Classes (iCal) - next class is marked with N
Thursday
11.10.
16:00 - 18:00
Seminarraum
Thursday
18.10.
16:00 - 18:00
Seminarraum
Thursday
25.10.
16:00 - 18:00
Seminarraum
Thursday
08.11.
16:00 - 18:00
Seminarraum
Thursday
15.11.
16:00 - 18:00
Seminarraum
Thursday
22.11.
16:00 - 18:00
Seminarraum
Thursday
29.11.
16:00 - 18:00
Seminarraum
Thursday
06.12.
16:00 - 18:00
Seminarraum
Thursday
13.12.
16:00 - 18:00
Seminarraum
Thursday
10.01.
16:00 - 18:00
Seminarraum
Thursday
17.01.
16:00 - 18:00
Seminarraum
Thursday
24.01.
16:00 - 18:00
Seminarraum
Thursday
31.01.
16:00 - 18:00
Seminarraum
Information
Aims, contents and method of the course
Assessment and permitted materials
Exam and exercise sheets
Minimum requirements and assessment criteria
Knowledge and understanding of the above mentioned topics.
Examination topics
lectures
Reading list
* Peter Walters, An Introduction to Ergodic Theory, Springer-Verlag.
* Gerhard Keller, Equilibrium States in Ergodic Theory, Cambridge Univ. Press.
* Rufus Bowen, Equilibrium states and ergodic Theory of Anosov Diffeomorphisms, Springer-Verlag, Lect. Notes in Mathematics, 470, (1975).
* Omri Sarig, Lecture Notes on Thermodynamic Formalism for Topological Markov Shifts. Penn State, 2009.Further texts:
* David Ruelle, Thermodynamic Formalism, Cambridge University Press, Cambridge, 2004.
* Vivianne Baladi, Positive Transfer Operators and Decay of Correlations, World Scientific Press.
* Gerhard Keller, Equilibrium States in Ergodic Theory, Cambridge Univ. Press.
* Rufus Bowen, Equilibrium states and ergodic Theory of Anosov Diffeomorphisms, Springer-Verlag, Lect. Notes in Mathematics, 470, (1975).
* Omri Sarig, Lecture Notes on Thermodynamic Formalism for Topological Markov Shifts. Penn State, 2009.Further texts:
* David Ruelle, Thermodynamic Formalism, Cambridge University Press, Cambridge, 2004.
* Vivianne Baladi, Positive Transfer Operators and Decay of Correlations, World Scientific Press.
Association in the course directory
MSTV
Last modified: Mo 07.09.2020 15:40
potential energy. It is used to explain phase transitions in materials,
such as liquid vs. solid and magnitized vs. non-magnitized. Whereas in
physics, these ideas go back to Boltzmann in the late 19th century, it was
only in the 1970s that they were given a firm mathematical framework by
Sinai, Ruelle and Bowen. Topics of this course may include:
- Symbolic dynamics and subshifts of finite type.
- Entropy and the Variational Principle.
- The pressure function and phase transitions.
- Measures of maximal entropy.
- The Ising model and related models.
- Transfer operators and their spectral properties.
- Thermodynamics and fractal dimensions.