19234101 Lecture

SoSe 17: Ergodentheorie und Transferoperatoren

Peter Koltai

Additional information / Pre-requisites

Literature:

  • [Sa] Omri Sarig; Lecture Notes on Ergodic Theory (http://www.weizmann.ac.il/math/sarigo/sites/math.sarigo/files/uploads/ergodicnotes.pdf)
  • [BG] Abraham Boyarsky, Pawel Góra; Laws of Chaos. Springer Science+Business Media New York, 1997
  • [BS] Michael Brin and Garrett Stuck; Introduction to Dynamical Systems. Cambridge University Press, 2003
  • [LM] Andrzej Lasota and Michael C. Mackey; Chaos, Fractals, and Noise. Springer, 1994
  • [Wa] Peter Walters; An Introduction to Ergodic Theory. Springer, 1982
  • [Ma] Ricardo Mañé; Ergodic Theory and Differentiable Dynamics. Springer, 1983

See also the related course from the summer term 2015: http://numerik.mi.fu-berlin.de/wiki/SS_2015/ErgodicTheory.php

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Comments

Ergodic theory in concerned with the behavior of dynamic systems when these are running for a long time. Vaguely speaking, the long-term statistical behavior of an ergodic dynamical system is not going to depend on its initial condition. This course discusses the mathematical characterization of this property. A central role is going to be played by the so-called transfer operator, which describes the action of the dynamics on a distribution of states. We are also going to highlight its importance in applications, when it comes to the numerical approximation of quantities of interest.

The course can be given in German or English.

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14 Class schedule

Regular appointments

Wed, 2017-04-19 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-04-26 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-05-03 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-05-10 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-05-17 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-05-24 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-05-31 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-06-07 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-06-14 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-06-21 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-06-28 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-07-05 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-07-12 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Wed, 2017-07-19 10:00 - 12:00

Lecturers:
PD Dr. Marcus Weber
Dr. Peter Koltai

Location:
A6/SR 009 Seminarraum (Arnimallee 6)

Subjects A - Z