Institut für Mathematik

Dynamical Systems and Ergodic Theory

Dozent: Corinna Ulcigrai

Vorlesungen

Di 10.15 - 12.00
Raum: Y27H25
Mi 13.00 - 14.45
Raum: Y27H28

Übungen

Mo 08.00 - 09.45
Y27H28
Exercises Dynamical Systems and Ergodic Theory

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Lecture notes: Lecture notes for several of the topics covered will be provided and posted here.


Additional References: Textbooks which can be used as additional reference for some of the topics include:

  • B. Hasselblatt and A. Katok, Dynamics: A first course. (Cambridge University Press, 2003) – Chapters 7,8,10 and 15
  • M. Brin and G. Stuck, Introduction to Dynamical Systems. (Cambridge University Press, 2002) – Chapters 1-4
  • M. Einsiedler and T. Ward, Ergodic Theory with a view towards Number Theory (Springer) - Topics from Chapters 2-3-4 and especially Chapter 9 for the last part of the course.
  • Omri Sarig, Lectures Notes on Ergodic Theory (Available Online), Topics from Chapter 1 and 2

Lecture notes will be posted in parts. Below you will find lecture notes which correspont to the first classes.

PLEASE REFRESH YOUR BROWSER (otherwise then file is replaced you will not see the latest version).

Lecture notes - Part I (Examples of dynamical systems and first fundamental ideas)

Lecture notes - Part II (Topological and Symbolic Dynamics) now complete!

Lecture Notes - Part III (Ergodic Theory) up to ergodicity (now with existence of invariant measures section added).

Prüfung

Modul: 23.01.2019 9:00-12:00, Raum: Y27H25, Typ: schriftlich

Modul: MAT733 Dynamical Systems and Ergodic Theory