Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

Ergodic Theory - NSTP163

Title:	Ergodická teorie
Guaranteed by:	Department of Probability and Mathematical Statistics (32-KPMS)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2009 to 2012
Semester:	summer
E-Credits:	5
Hours per week, examination:	summer s.:3/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time

Guarantor:	RNDr. Jan Seidler, CSc.
Teacher(s):	RNDr. Jan Seidler, CSc.
Classification:	Mathematics > Probability and Statistics

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

The lectures are devoted to basic properties of measureble dynamical systems, properties like recurrence, ergodicity and mixing being discussed in detail.

Last update: JSEIDLER/MFF.CUNI.CZ (15.05.2008)

Aim of the course -

Students will learn basic results about measurable dynamical systems.

Last update: T_KPMS (19.05.2008)

Literature - Czech

P. Walters: An Introduction to Ergodic Theory, Springer, 1982.

K. Petersen: Ergodic Theory, Cambridge Univ. Press, 1983

Last update: JSEIDLER/MFF.CUNI.CZ (15.05.2008)

Teaching methods -

Lecture.

Last update: G_M (28.05.2008)

Syllabus -

1. Endomorphisms and automorphisms of probability spaces.

2. The Poincaré recurrence theorem.

3. The Birkhoff ergodic theorem and its consequences.

4. Examples.

5. Entropy and isomorphism of dynamical systems.

Last update: JSEIDLER/MFF.CUNI.CZ (15.05.2008)